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Finding the Fourth Proportional to 21,194.40, 31,791.92 and 5,612.40

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Solution

The fourth proportional to 21,194.40, 31,791.92 and 5,612.40 is: 8,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194.40 : 31,791.92 = 5,612.40 : x
  2. Step 2: Convert to fraction form
    21,194.40/31,791.92 = 5,612.40/x
  3. Step 3: Cross multiply
    21,194.40x = 31,791.92 × 5,612.40
  4. Step 4: Simplify right side
    21,194.40x = 178,428,971.81
  5. Step 5: Solve for x
    x = 178,428,971.81/21,194.40
  6. Step 6: Final answer
    x = 8,418.68

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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.