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Finding the Fourth Proportional to 5,272.62, 7,908.12 and 1,765.14

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Solution

The fourth proportional to 5,272.62, 7,908.12 and 1,765.14 is: 2,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.62 : 7,908.12 = 1,765.14 : x
  2. Step 2: Convert to fraction form
    5,272.62/7,908.12 = 1,765.14/x
  3. Step 3: Cross multiply
    5,272.62x = 7,908.12 × 1,765.14
  4. Step 4: Simplify right side
    5,272.62x = 13,958,938.94
  5. Step 5: Solve for x
    x = 13,958,938.94/5,272.62
  6. Step 6: Final answer
    x = 2,647.44

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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.