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Finding the Fourth Proportional to 3,157.70, 4,732.50 and 1,511.78

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Solution

The fourth proportional to 3,157.70, 4,732.50 and 1,511.78 is: 2,265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.70 : 4,732.50 = 1,511.78 : x
  2. Step 2: Convert to fraction form
    3,157.70/4,732.50 = 1,511.78/x
  3. Step 3: Cross multiply
    3,157.70x = 4,732.50 × 1,511.78
  4. Step 4: Simplify right side
    3,157.70x = 7,154,510.68
  5. Step 5: Solve for x
    x = 7,154,510.68/3,157.70
  6. Step 6: Final answer
    x = 2,265.73

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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.