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Finding the Fourth Proportional to 3,868.71, 5,340.04 and 2,471.46

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Solution

The fourth proportional to 3,868.71, 5,340.04 and 2,471.46 is: 3,411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.71 : 5,340.04 = 2,471.46 : x
  2. Step 2: Convert to fraction form
    3,868.71/5,340.04 = 2,471.46/x
  3. Step 3: Cross multiply
    3,868.71x = 5,340.04 × 2,471.46
  4. Step 4: Simplify right side
    3,868.71x = 13,197,689.08
  5. Step 5: Solve for x
    x = 13,197,689.08/3,868.71
  6. Step 6: Final answer
    x = 3,411.39

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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.