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Finding the Fourth Proportional to 23,187, 31,998.06 and 13,251

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Solution

The fourth proportional to 23,187, 31,998.06 and 13,251 is: 18,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,187 : 31,998.06 = 13,251 : x
  2. Step 2: Convert to fraction form
    23,187/31,998.06 = 13,251/x
  3. Step 3: Cross multiply
    23,187x = 31,998.06 × 13,251
  4. Step 4: Simplify right side
    23,187x = 424,006,293.06
  5. Step 5: Solve for x
    x = 424,006,293.06/23,187
  6. Step 6: Final answer
    x = 18,286.38

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Double scale
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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.