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Finding the Fourth Proportional to 8,574.66, 12,862.60 and 2,731.32

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Solution

The fourth proportional to 8,574.66, 12,862.60 and 2,731.32 is: 4,097.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.66 : 12,862.60 = 2,731.32 : x
  2. Step 2: Convert to fraction form
    8,574.66/12,862.60 = 2,731.32/x
  3. Step 3: Cross multiply
    8,574.66x = 12,862.60 × 2,731.32
  4. Step 4: Simplify right side
    8,574.66x = 35,131,869.80
  5. Step 5: Solve for x
    x = 35,131,869.80/8,574.66
  6. Step 6: Final answer
    x = 4,097.17

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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.