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Finding the Fourth Proportional to 2,404.12, 3,606.90 and 1,172.20

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Solution

The fourth proportional to 2,404.12, 3,606.90 and 1,172.20 is: 1,758.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.12 : 3,606.90 = 1,172.20 : x
  2. Step 2: Convert to fraction form
    2,404.12/3,606.90 = 1,172.20/x
  3. Step 3: Cross multiply
    2,404.12x = 3,606.90 × 1,172.20
  4. Step 4: Simplify right side
    2,404.12x = 4,228,008.18
  5. Step 5: Solve for x
    x = 4,228,008.18/2,404.12
  6. Step 6: Final answer
    x = 1,758.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.