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Finding the Fourth Proportional to 39,331.54, 58,948.04 and 30,978.56

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Solution

The fourth proportional to 39,331.54, 58,948.04 and 30,978.56 is: 46,429.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,331.54 : 58,948.04 = 30,978.56 : x
  2. Step 2: Convert to fraction form
    39,331.54/58,948.04 = 30,978.56/x
  3. Step 3: Cross multiply
    39,331.54x = 58,948.04 × 30,978.56
  4. Step 4: Simplify right side
    39,331.54x = 1,826,125,618.84
  5. Step 5: Solve for x
    x = 1,826,125,618.84/39,331.54
  6. Step 6: Final answer
    x = 46,429.04

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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.