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Finding the Fourth Proportional to 2,231.77, 3,346.88 and 845.50

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Solution

The fourth proportional to 2,231.77, 3,346.88 and 845.50 is: 1,267.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.77 : 3,346.88 = 845.50 : x
  2. Step 2: Convert to fraction form
    2,231.77/3,346.88 = 845.50/x
  3. Step 3: Cross multiply
    2,231.77x = 3,346.88 × 845.50
  4. Step 4: Simplify right side
    2,231.77x = 2,829,778.11
  5. Step 5: Solve for x
    x = 2,829,778.11/2,231.77
  6. Step 6: Final answer
    x = 1,267.96

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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.