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Finding the Fourth Proportional to 2,574.68, 3,863.16 and 931.68

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Solution

The fourth proportional to 2,574.68, 3,863.16 and 931.68 is: 1,397.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.68 : 3,863.16 = 931.68 : x
  2. Step 2: Convert to fraction form
    2,574.68/3,863.16 = 931.68/x
  3. Step 3: Cross multiply
    2,574.68x = 3,863.16 × 931.68
  4. Step 4: Simplify right side
    2,574.68x = 3,599,228.91
  5. Step 5: Solve for x
    x = 3,599,228.91/2,574.68
  6. Step 6: Final answer
    x = 1,397.94

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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.