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Finding the Fourth Proportional to 2,831.22, 4,246.56 and 981.90

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Solution

The fourth proportional to 2,831.22, 4,246.56 and 981.90 is: 1,472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.22 : 4,246.56 = 981.90 : x
  2. Step 2: Convert to fraction form
    2,831.22/4,246.56 = 981.90/x
  3. Step 3: Cross multiply
    2,831.22x = 4,246.56 × 981.90
  4. Step 4: Simplify right side
    2,831.22x = 4,169,697.26
  5. Step 5: Solve for x
    x = 4,169,697.26/2,831.22
  6. Step 6: Final answer
    x = 1,472.76

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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.