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Finding the Fourth Proportional to 3,221.27, 4,831.10 and 881.28

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Solution

The fourth proportional to 3,221.27, 4,831.10 and 881.28 is: 1,321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.27 : 4,831.10 = 881.28 : x
  2. Step 2: Convert to fraction form
    3,221.27/4,831.10 = 881.28/x
  3. Step 3: Cross multiply
    3,221.27x = 4,831.10 × 881.28
  4. Step 4: Simplify right side
    3,221.27x = 4,257,547.40
  5. Step 5: Solve for x
    x = 4,257,547.40/3,221.27
  6. Step 6: Final answer
    x = 1,321.70

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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.