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Finding the Fourth Proportional to 3,492.86, 5,239.28 and 3,279.02

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Solution

The fourth proportional to 3,492.86, 5,239.28 and 3,279.02 is: 4,918.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.86 : 5,239.28 = 3,279.02 : x
  2. Step 2: Convert to fraction form
    3,492.86/5,239.28 = 3,279.02/x
  3. Step 3: Cross multiply
    3,492.86x = 5,239.28 × 3,279.02
  4. Step 4: Simplify right side
    3,492.86x = 17,179,685.91
  5. Step 5: Solve for x
    x = 17,179,685.91/3,492.86
  6. Step 6: Final answer
    x = 4,918.52

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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.