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Finding the Fourth Proportional to 3,245.76, 4,868.82 and 905.76

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Solution

The fourth proportional to 3,245.76, 4,868.82 and 905.76 is: 1,358.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.76 : 4,868.82 = 905.76 : x
  2. Step 2: Convert to fraction form
    3,245.76/4,868.82 = 905.76/x
  3. Step 3: Cross multiply
    3,245.76x = 4,868.82 × 905.76
  4. Step 4: Simplify right side
    3,245.76x = 4,409,982.40
  5. Step 5: Solve for x
    x = 4,409,982.40/3,245.76
  6. Step 6: Final answer
    x = 1,358.69

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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.