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Finding the Fourth Proportional to 6,614.64, 9,925.90 and 2,919.82

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Solution

The fourth proportional to 6,614.64, 9,925.90 and 2,919.82 is: 4,381.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.64 : 9,925.90 = 2,919.82 : x
  2. Step 2: Convert to fraction form
    6,614.64/9,925.90 = 2,919.82/x
  3. Step 3: Cross multiply
    6,614.64x = 9,925.90 × 2,919.82
  4. Step 4: Simplify right side
    6,614.64x = 28,981,841.34
  5. Step 5: Solve for x
    x = 28,981,841.34/6,614.64
  6. Step 6: Final answer
    x = 4,381.47

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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.