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Finding the Fourth Proportional to 39,599.34, 54,642 and 31,553.40

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Solution

The fourth proportional to 39,599.34, 54,642 and 31,553.40 is: 43,539.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,599.34 : 54,642 = 31,553.40 : x
  2. Step 2: Convert to fraction form
    39,599.34/54,642 = 31,553.40/x
  3. Step 3: Cross multiply
    39,599.34x = 54,642 × 31,553.40
  4. Step 4: Simplify right side
    39,599.34x = 1,724,140,882.80
  5. Step 5: Solve for x
    x = 1,724,140,882.80/39,599.34
  6. Step 6: Final answer
    x = 43,539.64

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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.