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Finding the Fourth Proportional to 28,593.78, 42,891.45 and 7,817.28

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Solution

The fourth proportional to 28,593.78, 42,891.45 and 7,817.28 is: 11,726.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,593.78 : 42,891.45 = 7,817.28 : x
  2. Step 2: Convert to fraction form
    28,593.78/42,891.45 = 7,817.28/x
  3. Step 3: Cross multiply
    28,593.78x = 42,891.45 × 7,817.28
  4. Step 4: Simplify right side
    28,593.78x = 335,294,474.26
  5. Step 5: Solve for x
    x = 335,294,474.26/28,593.78
  6. Step 6: Final answer
    x = 11,726.13

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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.