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Finding the Fourth Proportional to 8,570.30, 12,854.91 and 2,731.10

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Solution

The fourth proportional to 8,570.30, 12,854.91 and 2,731.10 is: 4,096.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.30 : 12,854.91 = 2,731.10 : x
  2. Step 2: Convert to fraction form
    8,570.30/12,854.91 = 2,731.10/x
  3. Step 3: Cross multiply
    8,570.30x = 12,854.91 × 2,731.10
  4. Step 4: Simplify right side
    8,570.30x = 35,108,044.70
  5. Step 5: Solve for x
    x = 35,108,044.70/8,570.30
  6. Step 6: Final answer
    x = 4,096.48

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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.