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Finding the Fourth Proportional to 7,909.80, 11,864.14 and 2,715.56

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Solution

The fourth proportional to 7,909.80, 11,864.14 and 2,715.56 is: 4,073.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.80 : 11,864.14 = 2,715.56 : x
  2. Step 2: Convert to fraction form
    7,909.80/11,864.14 = 2,715.56/x
  3. Step 3: Cross multiply
    7,909.80x = 11,864.14 × 2,715.56
  4. Step 4: Simplify right side
    7,909.80x = 32,217,784.02
  5. Step 5: Solve for x
    x = 32,217,784.02/7,909.80
  6. Step 6: Final answer
    x = 4,073.15

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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.