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Finding the Fourth Proportional to 28,284.28, 42,404.40 and 12,691

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Solution

The fourth proportional to 28,284.28, 42,404.40 and 12,691 is: 19,026.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,284.28 : 42,404.40 = 12,691 : x
  2. Step 2: Convert to fraction form
    28,284.28/42,404.40 = 12,691/x
  3. Step 3: Cross multiply
    28,284.28x = 42,404.40 × 12,691
  4. Step 4: Simplify right side
    28,284.28x = 538,154,240.40
  5. Step 5: Solve for x
    x = 538,154,240.40/28,284.28
  6. Step 6: Final answer
    x = 19,026.62

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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.