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Finding the Fourth Proportional to 9,760.56, 14,640 and 2,740.68

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Solution

The fourth proportional to 9,760.56, 14,640 and 2,740.68 is: 4,110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.56 : 14,640 = 2,740.68 : x
  2. Step 2: Convert to fraction form
    9,760.56/14,640 = 2,740.68/x
  3. Step 3: Cross multiply
    9,760.56x = 14,640 × 2,740.68
  4. Step 4: Simplify right side
    9,760.56x = 40,123,555.20
  5. Step 5: Solve for x
    x = 40,123,555.20/9,760.56
  6. Step 6: Final answer
    x = 4,110.78

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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.