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Finding the Fourth Proportional to 2,589.12, 3,884.16 and 1,050.24

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Solution

The fourth proportional to 2,589.12, 3,884.16 and 1,050.24 is: 1,575.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.12 : 3,884.16 = 1,050.24 : x
  2. Step 2: Convert to fraction form
    2,589.12/3,884.16 = 1,050.24/x
  3. Step 3: Cross multiply
    2,589.12x = 3,884.16 × 1,050.24
  4. Step 4: Simplify right side
    2,589.12x = 4,079,300.20
  5. Step 5: Solve for x
    x = 4,079,300.20/2,589.12
  6. Step 6: Final answer
    x = 1,575.55

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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.