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Finding the Fourth Proportional to 2,671.71, 3,685.03 and 1,785.97

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Solution

The fourth proportional to 2,671.71, 3,685.03 and 1,785.97 is: 2,463.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.71 : 3,685.03 = 1,785.97 : x
  2. Step 2: Convert to fraction form
    2,671.71/3,685.03 = 1,785.97/x
  3. Step 3: Cross multiply
    2,671.71x = 3,685.03 × 1,785.97
  4. Step 4: Simplify right side
    2,671.71x = 6,581,353.03
  5. Step 5: Solve for x
    x = 6,581,353.03/2,671.71
  6. Step 6: Final answer
    x = 2,463.35

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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.