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Finding the Fourth Proportional to 8,672.40, 12,949.20 and 7,506

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Solution

The fourth proportional to 8,672.40, 12,949.20 and 7,506 is: 11,207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,672.40 : 12,949.20 = 7,506 : x
  2. Step 2: Convert to fraction form
    8,672.40/12,949.20 = 7,506/x
  3. Step 3: Cross multiply
    8,672.40x = 12,949.20 × 7,506
  4. Step 4: Simplify right side
    8,672.40x = 97,196,695.20
  5. Step 5: Solve for x
    x = 97,196,695.20/8,672.40
  6. Step 6: Final answer
    x = 11,207.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.