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Finding the Fourth Proportional to 2,873.76, 4,311.84 and 2,509.20

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Solution

The fourth proportional to 2,873.76, 4,311.84 and 2,509.20 is: 3,764.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.76 : 4,311.84 = 2,509.20 : x
  2. Step 2: Convert to fraction form
    2,873.76/4,311.84 = 2,509.20/x
  3. Step 3: Cross multiply
    2,873.76x = 4,311.84 × 2,509.20
  4. Step 4: Simplify right side
    2,873.76x = 10,819,268.93
  5. Step 5: Solve for x
    x = 10,819,268.93/2,873.76
  6. Step 6: Final answer
    x = 3,764.85

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Why These Related Problems?

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