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Finding the Fourth Proportional to 3,363.66, 4,641.90 and 1,871.64

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Solution

The fourth proportional to 3,363.66, 4,641.90 and 1,871.64 is: 2,582.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.66 : 4,641.90 = 1,871.64 : x
  2. Step 2: Convert to fraction form
    3,363.66/4,641.90 = 1,871.64/x
  3. Step 3: Cross multiply
    3,363.66x = 4,641.90 × 1,871.64
  4. Step 4: Simplify right side
    3,363.66x = 8,687,965.72
  5. Step 5: Solve for x
    x = 8,687,965.72/3,363.66
  6. Step 6: Final answer
    x = 2,582.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.