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Finding the Fourth Proportional to 3,471.67, 5,209.55 and 1,281.93

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Solution

The fourth proportional to 3,471.67, 5,209.55 and 1,281.93 is: 1,923.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.67 : 5,209.55 = 1,281.93 : x
  2. Step 2: Convert to fraction form
    3,471.67/5,209.55 = 1,281.93/x
  3. Step 3: Cross multiply
    3,471.67x = 5,209.55 × 1,281.93
  4. Step 4: Simplify right side
    3,471.67x = 6,678,278.43
  5. Step 5: Solve for x
    x = 6,678,278.43/3,471.67
  6. Step 6: Final answer
    x = 1,923.65

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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.