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Finding the Fourth Proportional to 3,142.77, 4,706.98 and 1,500.47

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Solution

The fourth proportional to 3,142.77, 4,706.98 and 1,500.47 is: 2,247.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.77 : 4,706.98 = 1,500.47 : x
  2. Step 2: Convert to fraction form
    3,142.77/4,706.98 = 1,500.47/x
  3. Step 3: Cross multiply
    3,142.77x = 4,706.98 × 1,500.47
  4. Step 4: Simplify right side
    3,142.77x = 7,062,690.30
  5. Step 5: Solve for x
    x = 7,062,690.30/3,142.77
  6. Step 6: Final answer
    x = 2,247.28

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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.