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Finding the Fourth Proportional to 7,757.30, 11,640 and 7,339.08

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Solution

The fourth proportional to 7,757.30, 11,640 and 7,339.08 is: 11,012.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.30 : 11,640 = 7,339.08 : x
  2. Step 2: Convert to fraction form
    7,757.30/11,640 = 7,339.08/x
  3. Step 3: Cross multiply
    7,757.30x = 11,640 × 7,339.08
  4. Step 4: Simplify right side
    7,757.30x = 85,426,891.20
  5. Step 5: Solve for x
    x = 85,426,891.20/7,757.30
  6. Step 6: Final answer
    x = 11,012.45

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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.