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Finding the Fourth Proportional to 2,641.48, 3,962.82 and 886.71

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Solution

The fourth proportional to 2,641.48, 3,962.82 and 886.71 is: 1,330.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.48 : 3,962.82 = 886.71 : x
  2. Step 2: Convert to fraction form
    2,641.48/3,962.82 = 886.71/x
  3. Step 3: Cross multiply
    2,641.48x = 3,962.82 × 886.71
  4. Step 4: Simplify right side
    2,641.48x = 3,513,890.31
  5. Step 5: Solve for x
    x = 3,513,890.31/2,641.48
  6. Step 6: Final answer
    x = 1,330.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.