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Finding the Fourth Proportional to 2,471.02, 3,706.50 and 1,008.52

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Solution

The fourth proportional to 2,471.02, 3,706.50 and 1,008.52 is: 1,512.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.02 : 3,706.50 = 1,008.52 : x
  2. Step 2: Convert to fraction form
    2,471.02/3,706.50 = 1,008.52/x
  3. Step 3: Cross multiply
    2,471.02x = 3,706.50 × 1,008.52
  4. Step 4: Simplify right side
    2,471.02x = 3,738,079.38
  5. Step 5: Solve for x
    x = 3,738,079.38/2,471.02
  6. Step 6: Final answer
    x = 1,512.77

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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.