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Finding the Fourth Proportional to 12,093.06, 18,139.86 and 6,888

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Solution

The fourth proportional to 12,093.06, 18,139.86 and 6,888 is: 10,332.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.06 : 18,139.86 = 6,888 : x
  2. Step 2: Convert to fraction form
    12,093.06/18,139.86 = 6,888/x
  3. Step 3: Cross multiply
    12,093.06x = 18,139.86 × 6,888
  4. Step 4: Simplify right side
    12,093.06x = 124,947,355.68
  5. Step 5: Solve for x
    x = 124,947,355.68/12,093.06
  6. Step 6: Final answer
    x = 10,332.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.