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Finding the Fourth Proportional to 1,831.24, 2,742.99 and 963.73

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Solution

The fourth proportional to 1,831.24, 2,742.99 and 963.73 is: 1,443.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.24 : 2,742.99 = 963.73 : x
  2. Step 2: Convert to fraction form
    1,831.24/2,742.99 = 963.73/x
  3. Step 3: Cross multiply
    1,831.24x = 2,742.99 × 963.73
  4. Step 4: Simplify right side
    1,831.24x = 2,643,501.75
  5. Step 5: Solve for x
    x = 2,643,501.75/1,831.24
  6. Step 6: Final answer
    x = 1,443.56

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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.