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Finding the Fourth Proportional to 7,161.72, 9,882.72 and 4,178.40

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Solution

The fourth proportional to 7,161.72, 9,882.72 and 4,178.40 is: 5,765.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.72 : 9,882.72 = 4,178.40 : x
  2. Step 2: Convert to fraction form
    7,161.72/9,882.72 = 4,178.40/x
  3. Step 3: Cross multiply
    7,161.72x = 9,882.72 × 4,178.40
  4. Step 4: Simplify right side
    7,161.72x = 41,293,957.25
  5. Step 5: Solve for x
    x = 41,293,957.25/7,161.72
  6. Step 6: Final answer
    x = 5,765.93

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1.5x scale

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.