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Finding the Fourth Proportional to 2,652.32, 3,974.16 and 1,352

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Solution

The fourth proportional to 2,652.32, 3,974.16 and 1,352 is: 2,025.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.32 : 3,974.16 = 1,352 : x
  2. Step 2: Convert to fraction form
    2,652.32/3,974.16 = 1,352/x
  3. Step 3: Cross multiply
    2,652.32x = 3,974.16 × 1,352
  4. Step 4: Simplify right side
    2,652.32x = 5,373,064.32
  5. Step 5: Solve for x
    x = 5,373,064.32/2,652.32
  6. Step 6: Final answer
    x = 2,025.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.