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Finding the Fourth Proportional to 2,869.41, 4,304.82 and 921.61

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Solution

The fourth proportional to 2,869.41, 4,304.82 and 921.61 is: 1,382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.41 : 4,304.82 = 921.61 : x
  2. Step 2: Convert to fraction form
    2,869.41/4,304.82 = 921.61/x
  3. Step 3: Cross multiply
    2,869.41x = 4,304.82 × 921.61
  4. Step 4: Simplify right side
    2,869.41x = 3,967,365.16
  5. Step 5: Solve for x
    x = 3,967,365.16/2,869.41
  6. Step 6: Final answer
    x = 1,382.64

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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.