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Finding the Fourth Proportional to 5,373.42, 8,072.48 and 3,817.20

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Solution

The fourth proportional to 5,373.42, 8,072.48 and 3,817.20 is: 5,734.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,373.42 : 8,072.48 = 3,817.20 : x
  2. Step 2: Convert to fraction form
    5,373.42/8,072.48 = 3,817.20/x
  3. Step 3: Cross multiply
    5,373.42x = 8,072.48 × 3,817.20
  4. Step 4: Simplify right side
    5,373.42x = 30,814,270.66
  5. Step 5: Solve for x
    x = 30,814,270.66/5,373.42
  6. Step 6: Final answer
    x = 5,734.57

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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.