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Finding the Fourth Proportional to 28,356.31, 42,531.22 and 7,581.43

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Solution

The fourth proportional to 28,356.31, 42,531.22 and 7,581.43 is: 11,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,356.31 : 42,531.22 = 7,581.43 : x
  2. Step 2: Convert to fraction form
    28,356.31/42,531.22 = 7,581.43/x
  3. Step 3: Cross multiply
    28,356.31x = 42,531.22 × 7,581.43
  4. Step 4: Simplify right side
    28,356.31x = 322,447,370.39
  5. Step 5: Solve for x
    x = 322,447,370.39/28,356.31
  6. Step 6: Final answer
    x = 11,371.27

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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.