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Finding the Fourth Proportional to 25,758.30, 38,641.80 and 7,984.88

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Solution

The fourth proportional to 25,758.30, 38,641.80 and 7,984.88 is: 11,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,758.30 : 38,641.80 = 7,984.88 : x
  2. Step 2: Convert to fraction form
    25,758.30/38,641.80 = 7,984.88/x
  3. Step 3: Cross multiply
    25,758.30x = 38,641.80 × 7,984.88
  4. Step 4: Simplify right side
    25,758.30x = 308,549,942.78
  5. Step 5: Solve for x
    x = 308,549,942.78/25,758.30
  6. Step 6: Final answer
    x = 11,978.66

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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.