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Finding the Fourth Proportional to 38,978.80, 58,429.80 and 19,260.40

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Solution

The fourth proportional to 38,978.80, 58,429.80 and 19,260.40 is: 28,871.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,978.80 : 58,429.80 = 19,260.40 : x
  2. Step 2: Convert to fraction form
    38,978.80/58,429.80 = 19,260.40/x
  3. Step 3: Cross multiply
    38,978.80x = 58,429.80 × 19,260.40
  4. Step 4: Simplify right side
    38,978.80x = 1,125,381,319.92
  5. Step 5: Solve for x
    x = 1,125,381,319.92/38,978.80
  6. Step 6: Final answer
    x = 28,871.63

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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.