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Finding the Fourth Proportional to 2,404.12, 3,606.39 and 649.39

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Solution

The fourth proportional to 2,404.12, 3,606.39 and 649.39 is: 974.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.12 : 3,606.39 = 649.39 : x
  2. Step 2: Convert to fraction form
    2,404.12/3,606.39 = 649.39/x
  3. Step 3: Cross multiply
    2,404.12x = 3,606.39 × 649.39
  4. Step 4: Simplify right side
    2,404.12x = 2,341,944.59
  5. Step 5: Solve for x
    x = 2,341,944.59/2,404.12
  6. Step 6: Final answer
    x = 974.14

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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.