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Finding the Fourth Proportional to 2,847.23, 4,270.85 and 872.87

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Solution

The fourth proportional to 2,847.23, 4,270.85 and 872.87 is: 1,309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.23 : 4,270.85 = 872.87 : x
  2. Step 2: Convert to fraction form
    2,847.23/4,270.85 = 872.87/x
  3. Step 3: Cross multiply
    2,847.23x = 4,270.85 × 872.87
  4. Step 4: Simplify right side
    2,847.23x = 3,727,881.59
  5. Step 5: Solve for x
    x = 3,727,881.59/2,847.23
  6. Step 6: Final answer
    x = 1,309.30

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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.