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Finding the Fourth Proportional to 7,177.65, 10,747.30 and 4,213.64

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Solution

The fourth proportional to 7,177.65, 10,747.30 and 4,213.64 is: 6,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.65 : 10,747.30 = 4,213.64 : x
  2. Step 2: Convert to fraction form
    7,177.65/10,747.30 = 4,213.64/x
  3. Step 3: Cross multiply
    7,177.65x = 10,747.30 × 4,213.64
  4. Step 4: Simplify right side
    7,177.65x = 45,285,253.17
  5. Step 5: Solve for x
    x = 45,285,253.17/7,177.65
  6. Step 6: Final answer
    x = 6,309.20

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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.