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Finding the Fourth Proportional to 2,931.92, 4,396.80 and 2,472.92

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Solution

The fourth proportional to 2,931.92, 4,396.80 and 2,472.92 is: 3,708.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.92 : 4,396.80 = 2,472.92 : x
  2. Step 2: Convert to fraction form
    2,931.92/4,396.80 = 2,472.92/x
  3. Step 3: Cross multiply
    2,931.92x = 4,396.80 × 2,472.92
  4. Step 4: Simplify right side
    2,931.92x = 10,872,934.66
  5. Step 5: Solve for x
    x = 10,872,934.66/2,931.92
  6. Step 6: Final answer
    x = 3,708.47

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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.