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Finding the Fourth Proportional to 7,704.40, 11,557.68 and 6,256

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Solution

The fourth proportional to 7,704.40, 11,557.68 and 6,256 is: 9,384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.40 : 11,557.68 = 6,256 : x
  2. Step 2: Convert to fraction form
    7,704.40/11,557.68 = 6,256/x
  3. Step 3: Cross multiply
    7,704.40x = 11,557.68 × 6,256
  4. Step 4: Simplify right side
    7,704.40x = 72,304,846.08
  5. Step 5: Solve for x
    x = 72,304,846.08/7,704.40
  6. Step 6: Final answer
    x = 9,384.88

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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.