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Finding the Fourth Proportional to 2,869.48, 4,304.86 and 922.28

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Solution

The fourth proportional to 2,869.48, 4,304.86 and 922.28 is: 1,383.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.48 : 4,304.86 = 922.28 : x
  2. Step 2: Convert to fraction form
    2,869.48/4,304.86 = 922.28/x
  3. Step 3: Cross multiply
    2,869.48x = 4,304.86 × 922.28
  4. Step 4: Simplify right side
    2,869.48x = 3,970,286.28
  5. Step 5: Solve for x
    x = 3,970,286.28/2,869.48
  6. Step 6: Final answer
    x = 1,383.63

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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.