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Finding the Fourth Proportional to 3,294.30, 4,938.30 and 1,649.19

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Solution

The fourth proportional to 3,294.30, 4,938.30 and 1,649.19 is: 2,472.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.30 : 4,938.30 = 1,649.19 : x
  2. Step 2: Convert to fraction form
    3,294.30/4,938.30 = 1,649.19/x
  3. Step 3: Cross multiply
    3,294.30x = 4,938.30 × 1,649.19
  4. Step 4: Simplify right side
    3,294.30x = 8,144,194.98
  5. Step 5: Solve for x
    x = 8,144,194.98/3,294.30
  6. Step 6: Final answer
    x = 2,472.21

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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.