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Finding the Fourth Proportional to 5,375.42, 8,065.44 and 2,912

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Solution

The fourth proportional to 5,375.42, 8,065.44 and 2,912 is: 4,369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,375.42 : 8,065.44 = 2,912 : x
  2. Step 2: Convert to fraction form
    5,375.42/8,065.44 = 2,912/x
  3. Step 3: Cross multiply
    5,375.42x = 8,065.44 × 2,912
  4. Step 4: Simplify right side
    5,375.42x = 23,486,561.28
  5. Step 5: Solve for x
    x = 23,486,561.28/5,375.42
  6. Step 6: Final answer
    x = 4,369.25

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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.