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Finding the Fourth Proportional to 3,754.91, 5,632.99 and 1,289.14

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Solution

The fourth proportional to 3,754.91, 5,632.99 and 1,289.14 is: 1,933.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.91 : 5,632.99 = 1,289.14 : x
  2. Step 2: Convert to fraction form
    3,754.91/5,632.99 = 1,289.14/x
  3. Step 3: Cross multiply
    3,754.91x = 5,632.99 × 1,289.14
  4. Step 4: Simplify right side
    3,754.91x = 7,261,712.73
  5. Step 5: Solve for x
    x = 7,261,712.73/3,754.91
  6. Step 6: Final answer
    x = 1,933.92

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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.