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Finding the Fourth Proportional to 13,869, 19,139.30 and 8,901

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Solution

The fourth proportional to 13,869, 19,139.30 and 8,901 is: 12,283.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,869 : 19,139.30 = 8,901 : x
  2. Step 2: Convert to fraction form
    13,869/19,139.30 = 8,901/x
  3. Step 3: Cross multiply
    13,869x = 19,139.30 × 8,901
  4. Step 4: Simplify right side
    13,869x = 170,358,909.30
  5. Step 5: Solve for x
    x = 170,358,909.30/13,869
  6. Step 6: Final answer
    x = 12,283.43

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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.