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Finding the Fourth Proportional to 2,569.46, 3,854.21 and 621.66

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Solution

The fourth proportional to 2,569.46, 3,854.21 and 621.66 is: 932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.46 : 3,854.21 = 621.66 : x
  2. Step 2: Convert to fraction form
    2,569.46/3,854.21 = 621.66/x
  3. Step 3: Cross multiply
    2,569.46x = 3,854.21 × 621.66
  4. Step 4: Simplify right side
    2,569.46x = 2,396,005.08
  5. Step 5: Solve for x
    x = 2,396,005.08/2,569.46
  6. Step 6: Final answer
    x = 932.50

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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.