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Finding the Fourth Proportional to 8,574, 12,860.97 and 2,731.08

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Solution

The fourth proportional to 8,574, 12,860.97 and 2,731.08 is: 4,096.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574 : 12,860.97 = 2,731.08 : x
  2. Step 2: Convert to fraction form
    8,574/12,860.97 = 2,731.08/x
  3. Step 3: Cross multiply
    8,574x = 12,860.97 × 2,731.08
  4. Step 4: Simplify right side
    8,574x = 35,124,337.95
  5. Step 5: Solve for x
    x = 35,124,337.95/8,574
  6. Step 6: Final answer
    x = 4,096.61

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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.