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Finding the Fourth Proportional to 5,290.96, 7,936.60 and 1,593.20

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Solution

The fourth proportional to 5,290.96, 7,936.60 and 1,593.20 is: 2,389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.96 : 7,936.60 = 1,593.20 : x
  2. Step 2: Convert to fraction form
    5,290.96/7,936.60 = 1,593.20/x
  3. Step 3: Cross multiply
    5,290.96x = 7,936.60 × 1,593.20
  4. Step 4: Simplify right side
    5,290.96x = 12,644,591.12
  5. Step 5: Solve for x
    x = 12,644,591.12/5,290.96
  6. Step 6: Final answer
    x = 2,389.85

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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.