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Finding the Fourth Proportional to 10,869, 14,999.24 and 5,901

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Solution

The fourth proportional to 10,869, 14,999.24 and 5,901 is: 8,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869 : 14,999.24 = 5,901 : x
  2. Step 2: Convert to fraction form
    10,869/14,999.24 = 5,901/x
  3. Step 3: Cross multiply
    10,869x = 14,999.24 × 5,901
  4. Step 4: Simplify right side
    10,869x = 88,510,515.24
  5. Step 5: Solve for x
    x = 88,510,515.24/10,869
  6. Step 6: Final answer
    x = 8,143.39

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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.