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Finding the Fourth Proportional to 2,641.68, 3,962.68 and 1,545.20

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Solution

The fourth proportional to 2,641.68, 3,962.68 and 1,545.20 is: 2,317.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.68 : 3,962.68 = 1,545.20 : x
  2. Step 2: Convert to fraction form
    2,641.68/3,962.68 = 1,545.20/x
  3. Step 3: Cross multiply
    2,641.68x = 3,962.68 × 1,545.20
  4. Step 4: Simplify right side
    2,641.68x = 6,123,133.14
  5. Step 5: Solve for x
    x = 6,123,133.14/2,641.68
  6. Step 6: Final answer
    x = 2,317.89

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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.