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Finding the Fourth Proportional to 9,121.68, 13,681.72 and 2,548

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Solution

The fourth proportional to 9,121.68, 13,681.72 and 2,548 is: 3,821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,121.68 : 13,681.72 = 2,548 : x
  2. Step 2: Convert to fraction form
    9,121.68/13,681.72 = 2,548/x
  3. Step 3: Cross multiply
    9,121.68x = 13,681.72 × 2,548
  4. Step 4: Simplify right side
    9,121.68x = 34,861,022.56
  5. Step 5: Solve for x
    x = 34,861,022.56/9,121.68
  6. Step 6: Final answer
    x = 3,821.78

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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.