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Finding the Fourth Proportional to 12,430.69, 17,154.38 and 6,841.69

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Solution

The fourth proportional to 12,430.69, 17,154.38 and 6,841.69 is: 9,441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,430.69 : 17,154.38 = 6,841.69 : x
  2. Step 2: Convert to fraction form
    12,430.69/17,154.38 = 6,841.69/x
  3. Step 3: Cross multiply
    12,430.69x = 17,154.38 × 6,841.69
  4. Step 4: Simplify right side
    12,430.69x = 117,364,924.32
  5. Step 5: Solve for x
    x = 117,364,924.32/12,430.69
  6. Step 6: Final answer
    x = 9,441.55

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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.