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Finding the Fourth Proportional to 2,052.13, 3,075.62 and 880.75

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Solution

The fourth proportional to 2,052.13, 3,075.62 and 880.75 is: 1,320.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.13 : 3,075.62 = 880.75 : x
  2. Step 2: Convert to fraction form
    2,052.13/3,075.62 = 880.75/x
  3. Step 3: Cross multiply
    2,052.13x = 3,075.62 × 880.75
  4. Step 4: Simplify right side
    2,052.13x = 2,708,836.94
  5. Step 5: Solve for x
    x = 2,708,836.94/2,052.13
  6. Step 6: Final answer
    x = 1,320.02

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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.