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Finding the Fourth Proportional to 2,652.32, 3,978.12 and 1,009.28

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Solution

The fourth proportional to 2,652.32, 3,978.12 and 1,009.28 is: 1,513.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.32 : 3,978.12 = 1,009.28 : x
  2. Step 2: Convert to fraction form
    2,652.32/3,978.12 = 1,009.28/x
  3. Step 3: Cross multiply
    2,652.32x = 3,978.12 × 1,009.28
  4. Step 4: Simplify right side
    2,652.32x = 4,015,036.95
  5. Step 5: Solve for x
    x = 4,015,036.95/2,652.32
  6. Step 6: Final answer
    x = 1,513.78

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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.