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Finding the Fourth Proportional to 2,652.42, 3,977.06 and 1,009.08

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Solution

The fourth proportional to 2,652.42, 3,977.06 and 1,009.08 is: 1,513.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.42 : 3,977.06 = 1,009.08 : x
  2. Step 2: Convert to fraction form
    2,652.42/3,977.06 = 1,009.08/x
  3. Step 3: Cross multiply
    2,652.42x = 3,977.06 × 1,009.08
  4. Step 4: Simplify right side
    2,652.42x = 4,013,171.70
  5. Step 5: Solve for x
    x = 4,013,171.70/2,652.42
  6. Step 6: Final answer
    x = 1,513.02

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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.