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Finding the Fourth Proportional to 8,024.80, 12,037.80 and 2,181.28

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Solution

The fourth proportional to 8,024.80, 12,037.80 and 2,181.28 is: 3,272.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.80 : 12,037.80 = 2,181.28 : x
  2. Step 2: Convert to fraction form
    8,024.80/12,037.80 = 2,181.28/x
  3. Step 3: Cross multiply
    8,024.80x = 12,037.80 × 2,181.28
  4. Step 4: Simplify right side
    8,024.80x = 26,257,812.38
  5. Step 5: Solve for x
    x = 26,257,812.38/8,024.80
  6. Step 6: Final answer
    x = 3,272.08

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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.