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Finding the Fourth Proportional to 11,951.61, 17,929.71 and 5,712.12

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Solution

The fourth proportional to 11,951.61, 17,929.71 and 5,712.12 is: 8,569.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.61 : 17,929.71 = 5,712.12 : x
  2. Step 2: Convert to fraction form
    11,951.61/17,929.71 = 5,712.12/x
  3. Step 3: Cross multiply
    11,951.61x = 17,929.71 × 5,712.12
  4. Step 4: Simplify right side
    11,951.61x = 102,416,655.09
  5. Step 5: Solve for x
    x = 102,416,655.09/11,951.61
  6. Step 6: Final answer
    x = 8,569.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.