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Finding the Fourth Proportional to 2,574, 3,862.85 and 930.71

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Solution

The fourth proportional to 2,574, 3,862.85 and 930.71 is: 1,396.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574 : 3,862.85 = 930.71 : x
  2. Step 2: Convert to fraction form
    2,574/3,862.85 = 930.71/x
  3. Step 3: Cross multiply
    2,574x = 3,862.85 × 930.71
  4. Step 4: Simplify right side
    2,574x = 3,595,169.16
  5. Step 5: Solve for x
    x = 3,595,169.16/2,574
  6. Step 6: Final answer
    x = 1,396.72

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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.