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Finding the Fourth Proportional to 2,974.38, 4,459.90 and 1,218.90

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Solution

The fourth proportional to 2,974.38, 4,459.90 and 1,218.90 is: 1,827.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.38 : 4,459.90 = 1,218.90 : x
  2. Step 2: Convert to fraction form
    2,974.38/4,459.90 = 1,218.90/x
  3. Step 3: Cross multiply
    2,974.38x = 4,459.90 × 1,218.90
  4. Step 4: Simplify right side
    2,974.38x = 5,436,172.11
  5. Step 5: Solve for x
    x = 5,436,172.11/2,974.38
  6. Step 6: Final answer
    x = 1,827.67

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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.