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Finding the Fourth Proportional to 22,080.54, 30,471.12 and 12,649.14

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Solution

The fourth proportional to 22,080.54, 30,471.12 and 12,649.14 is: 17,455.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,080.54 : 30,471.12 = 12,649.14 : x
  2. Step 2: Convert to fraction form
    22,080.54/30,471.12 = 12,649.14/x
  3. Step 3: Cross multiply
    22,080.54x = 30,471.12 × 12,649.14
  4. Step 4: Simplify right side
    22,080.54x = 385,433,462.84
  5. Step 5: Solve for x
    x = 385,433,462.84/22,080.54
  6. Step 6: Final answer
    x = 17,455.80

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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.