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Finding the Fourth Proportional to 7,656.31, 11,479.06 and 2,972.41

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Solution

The fourth proportional to 7,656.31, 11,479.06 and 2,972.41 is: 4,456.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.31 : 11,479.06 = 2,972.41 : x
  2. Step 2: Convert to fraction form
    7,656.31/11,479.06 = 2,972.41/x
  3. Step 3: Cross multiply
    7,656.31x = 11,479.06 × 2,972.41
  4. Step 4: Simplify right side
    7,656.31x = 34,120,472.73
  5. Step 5: Solve for x
    x = 34,120,472.73/7,656.31
  6. Step 6: Final answer
    x = 4,456.52

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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.