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Finding the Fourth Proportional to 23,062.96, 31,825.08 and 12,990.96

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Solution

The fourth proportional to 23,062.96, 31,825.08 and 12,990.96 is: 17,926.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,062.96 : 31,825.08 = 12,990.96 : x
  2. Step 2: Convert to fraction form
    23,062.96/31,825.08 = 12,990.96/x
  3. Step 3: Cross multiply
    23,062.96x = 31,825.08 × 12,990.96
  4. Step 4: Simplify right side
    23,062.96x = 413,438,341.28
  5. Step 5: Solve for x
    x = 413,438,341.28/23,062.96
  6. Step 6: Final answer
    x = 17,926.51

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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.