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Finding the Fourth Proportional to 3,397.52, 5,097 and 1,207.84

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Solution

The fourth proportional to 3,397.52, 5,097 and 1,207.84 is: 1,812.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.52 : 5,097 = 1,207.84 : x
  2. Step 2: Convert to fraction form
    3,397.52/5,097 = 1,207.84/x
  3. Step 3: Cross multiply
    3,397.52x = 5,097 × 1,207.84
  4. Step 4: Simplify right side
    3,397.52x = 6,156,360.48
  5. Step 5: Solve for x
    x = 6,156,360.48/3,397.52
  6. Step 6: Final answer
    x = 1,812.02

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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.