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Finding the Fourth Proportional to 8,715.77, 13,073.54 and 2,141.90

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Solution

The fourth proportional to 8,715.77, 13,073.54 and 2,141.90 is: 3,212.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,715.77 : 13,073.54 = 2,141.90 : x
  2. Step 2: Convert to fraction form
    8,715.77/13,073.54 = 2,141.90/x
  3. Step 3: Cross multiply
    8,715.77x = 13,073.54 × 2,141.90
  4. Step 4: Simplify right side
    8,715.77x = 28,002,188.27
  5. Step 5: Solve for x
    x = 28,002,188.27/8,715.77
  6. Step 6: Final answer
    x = 3,212.82

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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.