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Finding the Fourth Proportional to 3,200.72, 4,803.11 and 1,252.88

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Solution

The fourth proportional to 3,200.72, 4,803.11 and 1,252.88 is: 1,880.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.72 : 4,803.11 = 1,252.88 : x
  2. Step 2: Convert to fraction form
    3,200.72/4,803.11 = 1,252.88/x
  3. Step 3: Cross multiply
    3,200.72x = 4,803.11 × 1,252.88
  4. Step 4: Simplify right side
    3,200.72x = 6,017,699.57
  5. Step 5: Solve for x
    x = 6,017,699.57/3,200.72
  6. Step 6: Final answer
    x = 1,880.11

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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.