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Finding the Fourth Proportional to 2,545.12, 3,817.68 and 901.56

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Solution

The fourth proportional to 2,545.12, 3,817.68 and 901.56 is: 1,352.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.12 : 3,817.68 = 901.56 : x
  2. Step 2: Convert to fraction form
    2,545.12/3,817.68 = 901.56/x
  3. Step 3: Cross multiply
    2,545.12x = 3,817.68 × 901.56
  4. Step 4: Simplify right side
    2,545.12x = 3,441,867.58
  5. Step 5: Solve for x
    x = 3,441,867.58/2,545.12
  6. Step 6: Final answer
    x = 1,352.34

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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.