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Finding the Fourth Proportional to 3,753.99, 5,632.20 and 1,288.76

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Solution

The fourth proportional to 3,753.99, 5,632.20 and 1,288.76 is: 1,933.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.99 : 5,632.20 = 1,288.76 : x
  2. Step 2: Convert to fraction form
    3,753.99/5,632.20 = 1,288.76/x
  3. Step 3: Cross multiply
    3,753.99x = 5,632.20 × 1,288.76
  4. Step 4: Simplify right side
    3,753.99x = 7,258,525.91
  5. Step 5: Solve for x
    x = 7,258,525.91/3,753.99
  6. Step 6: Final answer
    x = 1,933.55

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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.