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Finding the Fourth Proportional to 2,938.06, 4,406.96 and 963.83

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Solution

The fourth proportional to 2,938.06, 4,406.96 and 963.83 is: 1,445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.06 : 4,406.96 = 963.83 : x
  2. Step 2: Convert to fraction form
    2,938.06/4,406.96 = 963.83/x
  3. Step 3: Cross multiply
    2,938.06x = 4,406.96 × 963.83
  4. Step 4: Simplify right side
    2,938.06x = 4,247,560.26
  5. Step 5: Solve for x
    x = 4,247,560.26/2,938.06
  6. Step 6: Final answer
    x = 1,445.70

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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.