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Finding the Fourth Proportional to 12,431.34, 17,155.17 and 6,842.34

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Solution

The fourth proportional to 12,431.34, 17,155.17 and 6,842.34 is: 9,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.34 : 17,155.17 = 6,842.34 : x
  2. Step 2: Convert to fraction form
    12,431.34/17,155.17 = 6,842.34/x
  3. Step 3: Cross multiply
    12,431.34x = 17,155.17 × 6,842.34
  4. Step 4: Simplify right side
    12,431.34x = 117,381,505.90
  5. Step 5: Solve for x
    x = 117,381,505.90/12,431.34
  6. Step 6: Final answer
    x = 9,442.39

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Half scale
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Double scale
Find fourth proportional to 12,432.34, 17,156.55 and 6,843.34
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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.