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Finding the Fourth Proportional to 3,200.34, 4,800.11 and 1,253.91

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Solution

The fourth proportional to 3,200.34, 4,800.11 and 1,253.91 is: 1,880.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.34 : 4,800.11 = 1,253.91 : x
  2. Step 2: Convert to fraction form
    3,200.34/4,800.11 = 1,253.91/x
  3. Step 3: Cross multiply
    3,200.34x = 4,800.11 × 1,253.91
  4. Step 4: Simplify right side
    3,200.34x = 6,018,899.66
  5. Step 5: Solve for x
    x = 6,018,899.66/3,200.34
  6. Step 6: Final answer
    x = 1,880.71

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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.