Home / 3,275-4,914.68-1,543.76

Finding the Fourth Proportional to 3,275, 4,914.68 and 1,543.76

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Solution

The fourth proportional to 3,275, 4,914.68 and 1,543.76 is: 2,316.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275 : 4,914.68 = 1,543.76 : x
  2. Step 2: Convert to fraction form
    3,275/4,914.68 = 1,543.76/x
  3. Step 3: Cross multiply
    3,275x = 4,914.68 × 1,543.76
  4. Step 4: Simplify right side
    3,275x = 7,587,086.40
  5. Step 5: Solve for x
    x = 7,587,086.40/3,275
  6. Step 6: Final answer
    x = 2,316.67

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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.