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Finding the Fourth Proportional to 5,241.76, 7,861.74 and 1,543.96

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Solution

The fourth proportional to 5,241.76, 7,861.74 and 1,543.96 is: 2,315.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.76 : 7,861.74 = 1,543.96 : x
  2. Step 2: Convert to fraction form
    5,241.76/7,861.74 = 1,543.96/x
  3. Step 3: Cross multiply
    5,241.76x = 7,861.74 × 1,543.96
  4. Step 4: Simplify right side
    5,241.76x = 12,138,212.09
  5. Step 5: Solve for x
    x = 12,138,212.09/5,241.76
  6. Step 6: Final answer
    x = 2,315.67

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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.