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Finding the Fourth Proportional to 9,806.30, 14,687.85 and 8,711.90

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Solution

The fourth proportional to 9,806.30, 14,687.85 and 8,711.90 is: 13,048.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.30 : 14,687.85 = 8,711.90 : x
  2. Step 2: Convert to fraction form
    9,806.30/14,687.85 = 8,711.90/x
  3. Step 3: Cross multiply
    9,806.30x = 14,687.85 × 8,711.90
  4. Step 4: Simplify right side
    9,806.30x = 127,959,080.42
  5. Step 5: Solve for x
    x = 127,959,080.42/9,806.30
  6. Step 6: Final answer
    x = 13,048.66

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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.