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Finding the Fourth Proportional to 2,652.64, 3,979 and 921.30

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Solution

The fourth proportional to 2,652.64, 3,979 and 921.30 is: 1,381.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.64 : 3,979 = 921.30 : x
  2. Step 2: Convert to fraction form
    2,652.64/3,979 = 921.30/x
  3. Step 3: Cross multiply
    2,652.64x = 3,979 × 921.30
  4. Step 4: Simplify right side
    2,652.64x = 3,665,852.70
  5. Step 5: Solve for x
    x = 3,665,852.70/2,652.64
  6. Step 6: Final answer
    x = 1,381.96

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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.