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Finding the Fourth Proportional to 12,841.71, 17,721.02 and 8,064.14

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Solution

The fourth proportional to 12,841.71, 17,721.02 and 8,064.14 is: 11,128.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.71 : 17,721.02 = 8,064.14 : x
  2. Step 2: Convert to fraction form
    12,841.71/17,721.02 = 8,064.14/x
  3. Step 3: Cross multiply
    12,841.71x = 17,721.02 × 8,064.14
  4. Step 4: Simplify right side
    12,841.71x = 142,904,657.30
  5. Step 5: Solve for x
    x = 142,904,657.30/12,841.71
  6. Step 6: Final answer
    x = 11,128.16

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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.