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Finding the Fourth Proportional to 2,652.16, 3,979.68 and 922

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Solution

The fourth proportional to 2,652.16, 3,979.68 and 922 is: 1,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.16 : 3,979.68 = 922 : x
  2. Step 2: Convert to fraction form
    2,652.16/3,979.68 = 922/x
  3. Step 3: Cross multiply
    2,652.16x = 3,979.68 × 922
  4. Step 4: Simplify right side
    2,652.16x = 3,669,264.96
  5. Step 5: Solve for x
    x = 3,669,264.96/2,652.16
  6. Step 6: Final answer
    x = 1,383.50

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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.