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Finding the Fourth Proportional to 7,713.90, 11,585 and 7,063.28

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Solution

The fourth proportional to 7,713.90, 11,585 and 7,063.28 is: 10,607.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.90 : 11,585 = 7,063.28 : x
  2. Step 2: Convert to fraction form
    7,713.90/11,585 = 7,063.28/x
  3. Step 3: Cross multiply
    7,713.90x = 11,585 × 7,063.28
  4. Step 4: Simplify right side
    7,713.90x = 81,828,098.80
  5. Step 5: Solve for x
    x = 81,828,098.80/7,713.90
  6. Step 6: Final answer
    x = 10,607.88

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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.