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Finding the Fourth Proportional to 7,754.87, 11,613.73 and 4,239.60

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Solution

The fourth proportional to 7,754.87, 11,613.73 and 4,239.60 is: 6,349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.87 : 11,613.73 = 4,239.60 : x
  2. Step 2: Convert to fraction form
    7,754.87/11,613.73 = 4,239.60/x
  3. Step 3: Cross multiply
    7,754.87x = 11,613.73 × 4,239.60
  4. Step 4: Simplify right side
    7,754.87x = 49,237,569.71
  5. Step 5: Solve for x
    x = 49,237,569.71/7,754.87
  6. Step 6: Final answer
    x = 6,349.25

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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.