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Finding the Fourth Proportional to 7,758.47, 11,640.53 and 3,809.31

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Solution

The fourth proportional to 7,758.47, 11,640.53 and 3,809.31 is: 5,715.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.47 : 11,640.53 = 3,809.31 : x
  2. Step 2: Convert to fraction form
    7,758.47/11,640.53 = 3,809.31/x
  3. Step 3: Cross multiply
    7,758.47x = 11,640.53 × 3,809.31
  4. Step 4: Simplify right side
    7,758.47x = 44,342,387.33
  5. Step 5: Solve for x
    x = 44,342,387.33/7,758.47
  6. Step 6: Final answer
    x = 5,715.35

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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.