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Finding the Fourth Proportional to 2,545.20, 3,817.76 and 901.78

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Solution

The fourth proportional to 2,545.20, 3,817.76 and 901.78 is: 1,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.20 : 3,817.76 = 901.78 : x
  2. Step 2: Convert to fraction form
    2,545.20/3,817.76 = 901.78/x
  3. Step 3: Cross multiply
    2,545.20x = 3,817.76 × 901.78
  4. Step 4: Simplify right side
    2,545.20x = 3,442,779.61
  5. Step 5: Solve for x
    x = 3,442,779.61/2,545.20
  6. Step 6: Final answer
    x = 1,352.66

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1.5x scale

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.