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Finding the Fourth Proportional to 12,841.92, 19,260 and 7,649.28

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Solution

The fourth proportional to 12,841.92, 19,260 and 7,649.28 is: 11,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.92 : 19,260 = 7,649.28 : x
  2. Step 2: Convert to fraction form
    12,841.92/19,260 = 7,649.28/x
  3. Step 3: Cross multiply
    12,841.92x = 19,260 × 7,649.28
  4. Step 4: Simplify right side
    12,841.92x = 147,325,132.80
  5. Step 5: Solve for x
    x = 147,325,132.80/12,841.92
  6. Step 6: Final answer
    x = 11,472.20

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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.