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Finding the Fourth Proportional to 1,221.12, 1,831.68 and 929.22

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Solution

The fourth proportional to 1,221.12, 1,831.68 and 929.22 is: 1,393.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.12 : 1,831.68 = 929.22 : x
  2. Step 2: Convert to fraction form
    1,221.12/1,831.68 = 929.22/x
  3. Step 3: Cross multiply
    1,221.12x = 1,831.68 × 929.22
  4. Step 4: Simplify right side
    1,221.12x = 1,702,033.69
  5. Step 5: Solve for x
    x = 1,702,033.69/1,221.12
  6. Step 6: Final answer
    x = 1,393.83

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Similar ratio
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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.