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Finding the Fourth Proportional to 8,575.95, 12,864.86 and 2,731.20

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Solution

The fourth proportional to 8,575.95, 12,864.86 and 2,731.20 is: 4,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575.95 : 12,864.86 = 2,731.20 : x
  2. Step 2: Convert to fraction form
    8,575.95/12,864.86 = 2,731.20/x
  3. Step 3: Cross multiply
    8,575.95x = 12,864.86 × 2,731.20
  4. Step 4: Simplify right side
    8,575.95x = 35,136,491.98
  5. Step 5: Solve for x
    x = 35,136,491.98/8,575.95
  6. Step 6: Final answer
    x = 4,097.10

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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.