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Finding the Fourth Proportional to 3,387.84, 5,081.76 and 923.03

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Solution

The fourth proportional to 3,387.84, 5,081.76 and 923.03 is: 1,384.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.84 : 5,081.76 = 923.03 : x
  2. Step 2: Convert to fraction form
    3,387.84/5,081.76 = 923.03/x
  3. Step 3: Cross multiply
    3,387.84x = 5,081.76 × 923.03
  4. Step 4: Simplify right side
    3,387.84x = 4,690,610.58
  5. Step 5: Solve for x
    x = 4,690,610.58/3,387.84
  6. Step 6: Final answer
    x = 1,384.54

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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.