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Finding the Fourth Proportional to 9,680, 14,521.24 and 2,754.68

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Solution

The fourth proportional to 9,680, 14,521.24 and 2,754.68 is: 4,132.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680 : 14,521.24 = 2,754.68 : x
  2. Step 2: Convert to fraction form
    9,680/14,521.24 = 2,754.68/x
  3. Step 3: Cross multiply
    9,680x = 14,521.24 × 2,754.68
  4. Step 4: Simplify right side
    9,680x = 40,001,369.40
  5. Step 5: Solve for x
    x = 40,001,369.40/9,680
  6. Step 6: Final answer
    x = 4,132.37

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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.