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Finding the Fourth Proportional to 1,631.96, 2,251.54 and 923.72

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Solution

The fourth proportional to 1,631.96, 2,251.54 and 923.72 is: 1,274.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.96 : 2,251.54 = 923.72 : x
  2. Step 2: Convert to fraction form
    1,631.96/2,251.54 = 923.72/x
  3. Step 3: Cross multiply
    1,631.96x = 2,251.54 × 923.72
  4. Step 4: Simplify right side
    1,631.96x = 2,079,792.53
  5. Step 5: Solve for x
    x = 2,079,792.53/1,631.96
  6. Step 6: Final answer
    x = 1,274.41

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1.5x scale

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.