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Finding the Fourth Proportional to 3,561.65, 5,341.87 and 963.98

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Solution

The fourth proportional to 3,561.65, 5,341.87 and 963.98 is: 1,445.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561.65 : 5,341.87 = 963.98 : x
  2. Step 2: Convert to fraction form
    3,561.65/5,341.87 = 963.98/x
  3. Step 3: Cross multiply
    3,561.65x = 5,341.87 × 963.98
  4. Step 4: Simplify right side
    3,561.65x = 5,149,475.00
  5. Step 5: Solve for x
    x = 5,149,475.00/3,561.65
  6. Step 6: Final answer
    x = 1,445.81

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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.