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Finding the Fourth Proportional to 3,347, 5,021.56 and 1,499.70

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Solution

The fourth proportional to 3,347, 5,021.56 and 1,499.70 is: 2,250.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347 : 5,021.56 = 1,499.70 : x
  2. Step 2: Convert to fraction form
    3,347/5,021.56 = 1,499.70/x
  3. Step 3: Cross multiply
    3,347x = 5,021.56 × 1,499.70
  4. Step 4: Simplify right side
    3,347x = 7,530,833.53
  5. Step 5: Solve for x
    x = 7,530,833.53/3,347
  6. Step 6: Final answer
    x = 2,250.02

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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.