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Finding the Fourth Proportional to 22,790.80, 31,451.22 and 12,719.14

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Solution

The fourth proportional to 22,790.80, 31,451.22 and 12,719.14 is: 17,552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,790.80 : 31,451.22 = 12,719.14 : x
  2. Step 2: Convert to fraction form
    22,790.80/31,451.22 = 12,719.14/x
  3. Step 3: Cross multiply
    22,790.80x = 31,451.22 × 12,719.14
  4. Step 4: Simplify right side
    22,790.80x = 400,032,470.35
  5. Step 5: Solve for x
    x = 400,032,470.35/22,790.80
  6. Step 6: Final answer
    x = 17,552.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.