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Finding the Fourth Proportional to 2,652.92, 3,979.34 and 921.50

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Solution

The fourth proportional to 2,652.92, 3,979.34 and 921.50 is: 1,382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.92 : 3,979.34 = 921.50 : x
  2. Step 2: Convert to fraction form
    2,652.92/3,979.34 = 921.50/x
  3. Step 3: Cross multiply
    2,652.92x = 3,979.34 × 921.50
  4. Step 4: Simplify right side
    2,652.92x = 3,666,957.20
  5. Step 5: Solve for x
    x = 3,666,957.20/2,652.92
  6. Step 6: Final answer
    x = 1,382.23

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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.