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Finding the Fourth Proportional to 38,978.65, 53,799.14 and 25,342.96

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Solution

The fourth proportional to 38,978.65, 53,799.14 and 25,342.96 is: 34,978.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,978.65 : 53,799.14 = 25,342.96 : x
  2. Step 2: Convert to fraction form
    38,978.65/53,799.14 = 25,342.96/x
  3. Step 3: Cross multiply
    38,978.65x = 53,799.14 × 25,342.96
  4. Step 4: Simplify right side
    38,978.65x = 1,363,429,453.05
  5. Step 5: Solve for x
    x = 1,363,429,453.05/38,978.65
  6. Step 6: Final answer
    x = 34,978.88

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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.