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Finding the Fourth Proportional to 3,473.52, 5,207.16 and 1,281.72

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Solution

The fourth proportional to 3,473.52, 5,207.16 and 1,281.72 is: 1,921.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.52 : 5,207.16 = 1,281.72 : x
  2. Step 2: Convert to fraction form
    3,473.52/5,207.16 = 1,281.72/x
  3. Step 3: Cross multiply
    3,473.52x = 5,207.16 × 1,281.72
  4. Step 4: Simplify right side
    3,473.52x = 6,674,121.12
  5. Step 5: Solve for x
    x = 6,674,121.12/3,473.52
  6. Step 6: Final answer
    x = 1,921.43

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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.