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Finding the Fourth Proportional to 2,652.68, 3,977.10 and 1,353.16

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Solution

The fourth proportional to 2,652.68, 3,977.10 and 1,353.16 is: 2,028.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.68 : 3,977.10 = 1,353.16 : x
  2. Step 2: Convert to fraction form
    2,652.68/3,977.10 = 1,353.16/x
  3. Step 3: Cross multiply
    2,652.68x = 3,977.10 × 1,353.16
  4. Step 4: Simplify right side
    2,652.68x = 5,381,652.64
  5. Step 5: Solve for x
    x = 5,381,652.64/2,652.68
  6. Step 6: Final answer
    x = 2,028.76

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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.