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Finding the Fourth Proportional to 3,281.76, 4,529.16 and 1,865.52

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Solution

The fourth proportional to 3,281.76, 4,529.16 and 1,865.52 is: 2,574.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.76 : 4,529.16 = 1,865.52 : x
  2. Step 2: Convert to fraction form
    3,281.76/4,529.16 = 1,865.52/x
  3. Step 3: Cross multiply
    3,281.76x = 4,529.16 × 1,865.52
  4. Step 4: Simplify right side
    3,281.76x = 8,449,238.56
  5. Step 5: Solve for x
    x = 8,449,238.56/3,281.76
  6. Step 6: Final answer
    x = 2,574.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.