Home / 1,631.52-2,251.78-923.70

Finding the Fourth Proportional to 1,631.52, 2,251.78 and 923.70

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Solution

The fourth proportional to 1,631.52, 2,251.78 and 923.70 is: 1,274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.52 : 2,251.78 = 923.70 : x
  2. Step 2: Convert to fraction form
    1,631.52/2,251.78 = 923.70/x
  3. Step 3: Cross multiply
    1,631.52x = 2,251.78 × 923.70
  4. Step 4: Simplify right side
    1,631.52x = 2,079,969.19
  5. Step 5: Solve for x
    x = 2,079,969.19/1,631.52
  6. Step 6: Final answer
    x = 1,274.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.