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Finding the Fourth Proportional to 6,472.91, 9,709.70 and 2,772.56

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Solution

The fourth proportional to 6,472.91, 9,709.70 and 2,772.56 is: 4,158.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.91 : 9,709.70 = 2,772.56 : x
  2. Step 2: Convert to fraction form
    6,472.91/9,709.70 = 2,772.56/x
  3. Step 3: Cross multiply
    6,472.91x = 9,709.70 × 2,772.56
  4. Step 4: Simplify right side
    6,472.91x = 26,920,663.42
  5. Step 5: Solve for x
    x = 26,920,663.42/6,472.91
  6. Step 6: Final answer
    x = 4,158.98

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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.