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Finding the Fourth Proportional to 2,869.94, 4,304.94 and 922.15

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Solution

The fourth proportional to 2,869.94, 4,304.94 and 922.15 is: 1,383.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.94 : 4,304.94 = 922.15 : x
  2. Step 2: Convert to fraction form
    2,869.94/4,304.94 = 922.15/x
  3. Step 3: Cross multiply
    2,869.94x = 4,304.94 × 922.15
  4. Step 4: Simplify right side
    2,869.94x = 3,969,800.42
  5. Step 5: Solve for x
    x = 3,969,800.42/2,869.94
  6. Step 6: Final answer
    x = 1,383.23

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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.