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Finding the Fourth Proportional to 5,288.96, 7,933.60 and 1,591.20

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Solution

The fourth proportional to 5,288.96, 7,933.60 and 1,591.20 is: 2,386.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.96 : 7,933.60 = 1,591.20 : x
  2. Step 2: Convert to fraction form
    5,288.96/7,933.60 = 1,591.20/x
  3. Step 3: Cross multiply
    5,288.96x = 7,933.60 × 1,591.20
  4. Step 4: Simplify right side
    5,288.96x = 12,623,944.32
  5. Step 5: Solve for x
    x = 12,623,944.32/5,288.96
  6. Step 6: Final answer
    x = 2,386.85

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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.