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Finding the Fourth Proportional to 6,672, 10,006.20 and 2,511.72

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Solution

The fourth proportional to 6,672, 10,006.20 and 2,511.72 is: 3,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,672 : 10,006.20 = 2,511.72 : x
  2. Step 2: Convert to fraction form
    6,672/10,006.20 = 2,511.72/x
  3. Step 3: Cross multiply
    6,672x = 10,006.20 × 2,511.72
  4. Step 4: Simplify right side
    6,672x = 25,132,772.66
  5. Step 5: Solve for x
    x = 25,132,772.66/6,672
  6. Step 6: Final answer
    x = 3,766.90

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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.