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Finding the Fourth Proportional to 5,288.52, 7,932.78 and 1,825.50

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Solution

The fourth proportional to 5,288.52, 7,932.78 and 1,825.50 is: 2,738.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.52 : 7,932.78 = 1,825.50 : x
  2. Step 2: Convert to fraction form
    5,288.52/7,932.78 = 1,825.50/x
  3. Step 3: Cross multiply
    5,288.52x = 7,932.78 × 1,825.50
  4. Step 4: Simplify right side
    5,288.52x = 14,481,289.89
  5. Step 5: Solve for x
    x = 14,481,289.89/5,288.52
  6. Step 6: Final answer
    x = 2,738.25

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Similar ratio
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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.