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Finding the Fourth Proportional to 2,569.42, 3,854.14 and 621.62

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Solution

The fourth proportional to 2,569.42, 3,854.14 and 621.62 is: 932.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.42 : 3,854.14 = 621.62 : x
  2. Step 2: Convert to fraction form
    2,569.42/3,854.14 = 621.62/x
  3. Step 3: Cross multiply
    2,569.42x = 3,854.14 × 621.62
  4. Step 4: Simplify right side
    2,569.42x = 2,395,810.51
  5. Step 5: Solve for x
    x = 2,395,810.51/2,569.42
  6. Step 6: Final answer
    x = 932.43

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Similar ratio
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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.