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Finding the Fourth Proportional to 2,575.71, 3,863.57 and 931.87

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Solution

The fourth proportional to 2,575.71, 3,863.57 and 931.87 is: 1,397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.71 : 3,863.57 = 931.87 : x
  2. Step 2: Convert to fraction form
    2,575.71/3,863.57 = 931.87/x
  3. Step 3: Cross multiply
    2,575.71x = 3,863.57 × 931.87
  4. Step 4: Simplify right side
    2,575.71x = 3,600,345.15
  5. Step 5: Solve for x
    x = 3,600,345.15/2,575.71
  6. Step 6: Final answer
    x = 1,397.81

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1.5x scale

Why These Related Problems?

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