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Finding the Fourth Proportional to 2,654.38, 3,981.57 and 923

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Solution

The fourth proportional to 2,654.38, 3,981.57 and 923 is: 1,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.38 : 3,981.57 = 923 : x
  2. Step 2: Convert to fraction form
    2,654.38/3,981.57 = 923/x
  3. Step 3: Cross multiply
    2,654.38x = 3,981.57 × 923
  4. Step 4: Simplify right side
    2,654.38x = 3,674,984.50
  5. Step 5: Solve for x
    x = 3,674,984.50/2,654.38
  6. Step 6: Final answer
    x = 1,384.50

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Double scale
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Similar ratio
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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.