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Finding the Fourth Proportional to 3,486.64, 5,229.02 and 1,294.16

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Solution

The fourth proportional to 3,486.64, 5,229.02 and 1,294.16 is: 1,940.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.64 : 5,229.02 = 1,294.16 : x
  2. Step 2: Convert to fraction form
    3,486.64/5,229.02 = 1,294.16/x
  3. Step 3: Cross multiply
    3,486.64x = 5,229.02 × 1,294.16
  4. Step 4: Simplify right side
    3,486.64x = 6,767,188.52
  5. Step 5: Solve for x
    x = 6,767,188.52/3,486.64
  6. Step 6: Final answer
    x = 1,940.89

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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.