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Finding the Fourth Proportional to 2,234.32, 3,350.97 and 847.81

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Solution

The fourth proportional to 2,234.32, 3,350.97 and 847.81 is: 1,271.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.32 : 3,350.97 = 847.81 : x
  2. Step 2: Convert to fraction form
    2,234.32/3,350.97 = 847.81/x
  3. Step 3: Cross multiply
    2,234.32x = 3,350.97 × 847.81
  4. Step 4: Simplify right side
    2,234.32x = 2,840,985.88
  5. Step 5: Solve for x
    x = 2,840,985.88/2,234.32
  6. Step 6: Final answer
    x = 1,271.52

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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.