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Finding the Fourth Proportional to 12,430.76, 17,154.44 and 6,841.76

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Solution

The fourth proportional to 12,430.76, 17,154.44 and 6,841.76 is: 9,441.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,430.76 : 17,154.44 = 6,841.76 : x
  2. Step 2: Convert to fraction form
    12,430.76/17,154.44 = 6,841.76/x
  3. Step 3: Cross multiply
    12,430.76x = 17,154.44 × 6,841.76
  4. Step 4: Simplify right side
    12,430.76x = 117,366,561.41
  5. Step 5: Solve for x
    x = 117,366,561.41/12,430.76
  6. Step 6: Final answer
    x = 9,441.62

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Half scale
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Double scale
Find fourth proportional to 12,431.76, 17,155.82 and 6,842.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.