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Finding the Fourth Proportional to 2,939.31, 4,408.98 and 991.53

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Solution

The fourth proportional to 2,939.31, 4,408.98 and 991.53 is: 1,487.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.31 : 4,408.98 = 991.53 : x
  2. Step 2: Convert to fraction form
    2,939.31/4,408.98 = 991.53/x
  3. Step 3: Cross multiply
    2,939.31x = 4,408.98 × 991.53
  4. Step 4: Simplify right side
    2,939.31x = 4,371,635.94
  5. Step 5: Solve for x
    x = 4,371,635.94/2,939.31
  6. Step 6: Final answer
    x = 1,487.30

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1.5x scale

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.