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Finding the Fourth Proportional to 9,141.72, 12,616.20 and 5,161.38

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Solution

The fourth proportional to 9,141.72, 12,616.20 and 5,161.38 is: 7,123.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.72 : 12,616.20 = 5,161.38 : x
  2. Step 2: Convert to fraction form
    9,141.72/12,616.20 = 5,161.38/x
  3. Step 3: Cross multiply
    9,141.72x = 12,616.20 × 5,161.38
  4. Step 4: Simplify right side
    9,141.72x = 65,117,002.36
  5. Step 5: Solve for x
    x = 65,117,002.36/9,141.72
  6. Step 6: Final answer
    x = 7,123.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.