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Finding the Fourth Proportional to 13,866.87, 19,138.28 and 7,899.11

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Solution

The fourth proportional to 13,866.87, 19,138.28 and 7,899.11 is: 10,901.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.87 : 19,138.28 = 7,899.11 : x
  2. Step 2: Convert to fraction form
    13,866.87/19,138.28 = 7,899.11/x
  3. Step 3: Cross multiply
    13,866.87x = 19,138.28 × 7,899.11
  4. Step 4: Simplify right side
    13,866.87x = 151,175,378.93
  5. Step 5: Solve for x
    x = 151,175,378.93/13,866.87
  6. Step 6: Final answer
    x = 10,901.91

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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.