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Finding the Fourth Proportional to 13,891, 19,169.76 and 7,603.24

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Solution

The fourth proportional to 13,891, 19,169.76 and 7,603.24 is: 10,492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,891 : 19,169.76 = 7,603.24 : x
  2. Step 2: Convert to fraction form
    13,891/19,169.76 = 7,603.24/x
  3. Step 3: Cross multiply
    13,891x = 19,169.76 × 7,603.24
  4. Step 4: Simplify right side
    13,891x = 145,752,286.02
  5. Step 5: Solve for x
    x = 145,752,286.02/13,891
  6. Step 6: Final answer
    x = 10,492.57

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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.