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Finding the Fourth Proportional to 7,648.14, 11,472.78 and 2,971.98

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Solution

The fourth proportional to 7,648.14, 11,472.78 and 2,971.98 is: 4,458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.14 : 11,472.78 = 2,971.98 : x
  2. Step 2: Convert to fraction form
    7,648.14/11,472.78 = 2,971.98/x
  3. Step 3: Cross multiply
    7,648.14x = 11,472.78 × 2,971.98
  4. Step 4: Simplify right side
    7,648.14x = 34,096,872.70
  5. Step 5: Solve for x
    x = 34,096,872.70/7,648.14
  6. Step 6: Final answer
    x = 4,458.19

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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.