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Finding the Fourth Proportional to 39,394.64, 59,042.04 and 38,978

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Solution

The fourth proportional to 39,394.64, 59,042.04 and 38,978 is: 58,417.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,394.64 : 59,042.04 = 38,978 : x
  2. Step 2: Convert to fraction form
    39,394.64/59,042.04 = 38,978/x
  3. Step 3: Cross multiply
    39,394.64x = 59,042.04 × 38,978
  4. Step 4: Simplify right side
    39,394.64x = 2,301,340,635.12
  5. Step 5: Solve for x
    x = 2,301,340,635.12/39,394.64
  6. Step 6: Final answer
    x = 58,417.61

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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.