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Finding the Fourth Proportional to 22,486.25, 31,030.21 and 12,414.48

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Solution

The fourth proportional to 22,486.25, 31,030.21 and 12,414.48 is: 17,131.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,486.25 : 31,030.21 = 12,414.48 : x
  2. Step 2: Convert to fraction form
    22,486.25/31,030.21 = 12,414.48/x
  3. Step 3: Cross multiply
    22,486.25x = 31,030.21 × 12,414.48
  4. Step 4: Simplify right side
    22,486.25x = 385,223,921.44
  5. Step 5: Solve for x
    x = 385,223,921.44/22,486.25
  6. Step 6: Final answer
    x = 17,131.53

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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.