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Finding the Fourth Proportional to 3,294.40, 4,941.44 and 1,214.40

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Solution

The fourth proportional to 3,294.40, 4,941.44 and 1,214.40 is: 1,821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.40 : 4,941.44 = 1,214.40 : x
  2. Step 2: Convert to fraction form
    3,294.40/4,941.44 = 1,214.40/x
  3. Step 3: Cross multiply
    3,294.40x = 4,941.44 × 1,214.40
  4. Step 4: Simplify right side
    3,294.40x = 6,000,884.74
  5. Step 5: Solve for x
    x = 6,000,884.74/3,294.40
  6. Step 6: Final answer
    x = 1,821.54

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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.