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Finding the Fourth Proportional to 21,959.84, 30,297.11 and 12,398.60

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Solution

The fourth proportional to 21,959.84, 30,297.11 and 12,398.60 is: 17,105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,959.84 : 30,297.11 = 12,398.60 : x
  2. Step 2: Convert to fraction form
    21,959.84/30,297.11 = 12,398.60/x
  3. Step 3: Cross multiply
    21,959.84x = 30,297.11 × 12,398.60
  4. Step 4: Simplify right side
    21,959.84x = 375,641,761.80
  5. Step 5: Solve for x
    x = 375,641,761.80/21,959.84
  6. Step 6: Final answer
    x = 17,105.85

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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.