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Finding the Fourth Proportional to 2,331.79, 3,496.74 and 871.05

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Solution

The fourth proportional to 2,331.79, 3,496.74 and 871.05 is: 1,306.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.79 : 3,496.74 = 871.05 : x
  2. Step 2: Convert to fraction form
    2,331.79/3,496.74 = 871.05/x
  3. Step 3: Cross multiply
    2,331.79x = 3,496.74 × 871.05
  4. Step 4: Simplify right side
    2,331.79x = 3,045,835.38
  5. Step 5: Solve for x
    x = 3,045,835.38/2,331.79
  6. Step 6: Final answer
    x = 1,306.22

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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.