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Finding the Fourth Proportional to 23,057.44, 31,820.88 and 13,121.44

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Solution

The fourth proportional to 23,057.44, 31,820.88 and 13,121.44 is: 18,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,057.44 : 31,820.88 = 13,121.44 : x
  2. Step 2: Convert to fraction form
    23,057.44/31,820.88 = 13,121.44/x
  3. Step 3: Cross multiply
    23,057.44x = 31,820.88 × 13,121.44
  4. Step 4: Simplify right side
    23,057.44x = 417,535,767.67
  5. Step 5: Solve for x
    x = 417,535,767.67/23,057.44
  6. Step 6: Final answer
    x = 18,108.51

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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.