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Finding the Fourth Proportional to 7,143.72, 10,672.13 and 4,624.38

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Solution

The fourth proportional to 7,143.72, 10,672.13 and 4,624.38 is: 6,908.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.72 : 10,672.13 = 4,624.38 : x
  2. Step 2: Convert to fraction form
    7,143.72/10,672.13 = 4,624.38/x
  3. Step 3: Cross multiply
    7,143.72x = 10,672.13 × 4,624.38
  4. Step 4: Simplify right side
    7,143.72x = 49,351,996.09
  5. Step 5: Solve for x
    x = 49,351,996.09/7,143.72
  6. Step 6: Final answer
    x = 6,908.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.