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Finding the Fourth Proportional to 25,759.13, 38,624.48 and 7,984.86

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Solution

The fourth proportional to 25,759.13, 38,624.48 and 7,984.86 is: 11,972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,759.13 : 38,624.48 = 7,984.86 : x
  2. Step 2: Convert to fraction form
    25,759.13/38,624.48 = 7,984.86/x
  3. Step 3: Cross multiply
    25,759.13x = 38,624.48 × 7,984.86
  4. Step 4: Simplify right side
    25,759.13x = 308,411,025.45
  5. Step 5: Solve for x
    x = 308,411,025.45/25,759.13
  6. Step 6: Final answer
    x = 11,972.88

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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.