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Finding the Fourth Proportional to 5,445.76, 8,168.64 and 1,982.56

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Solution

The fourth proportional to 5,445.76, 8,168.64 and 1,982.56 is: 2,973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,445.76 : 8,168.64 = 1,982.56 : x
  2. Step 2: Convert to fraction form
    5,445.76/8,168.64 = 1,982.56/x
  3. Step 3: Cross multiply
    5,445.76x = 8,168.64 × 1,982.56
  4. Step 4: Simplify right side
    5,445.76x = 16,194,818.92
  5. Step 5: Solve for x
    x = 16,194,818.92/5,445.76
  6. Step 6: Final answer
    x = 2,973.84

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Similar ratio
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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.