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Finding the Fourth Proportional to 22,992.33, 31,728.54 and 12,921.20

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Solution

The fourth proportional to 22,992.33, 31,728.54 and 12,921.20 is: 17,830.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,992.33 : 31,728.54 = 12,921.20 : x
  2. Step 2: Convert to fraction form
    22,992.33/31,728.54 = 12,921.20/x
  3. Step 3: Cross multiply
    22,992.33x = 31,728.54 × 12,921.20
  4. Step 4: Simplify right side
    22,992.33x = 409,970,652.41
  5. Step 5: Solve for x
    x = 409,970,652.41/22,992.33
  6. Step 6: Final answer
    x = 17,830.76

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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.