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Finding the Fourth Proportional to 2,569.61, 3,854.43 and 621.82

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Solution

The fourth proportional to 2,569.61, 3,854.43 and 621.82 is: 932.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.61 : 3,854.43 = 621.82 : x
  2. Step 2: Convert to fraction form
    2,569.61/3,854.43 = 621.82/x
  3. Step 3: Cross multiply
    2,569.61x = 3,854.43 × 621.82
  4. Step 4: Simplify right side
    2,569.61x = 2,396,739.28
  5. Step 5: Solve for x
    x = 2,396,739.28/2,569.61
  6. Step 6: Final answer
    x = 932.72

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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.