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Finding the Fourth Proportional to 3,963.86, 5,471.03 and 2,471.49

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Solution

The fourth proportional to 3,963.86, 5,471.03 and 2,471.49 is: 3,411.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.86 : 5,471.03 = 2,471.49 : x
  2. Step 2: Convert to fraction form
    3,963.86/5,471.03 = 2,471.49/x
  3. Step 3: Cross multiply
    3,963.86x = 5,471.03 × 2,471.49
  4. Step 4: Simplify right side
    3,963.86x = 13,521,583.58
  5. Step 5: Solve for x
    x = 13,521,583.58/3,963.86
  6. Step 6: Final answer
    x = 3,411.22

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1.5x scale

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.