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Finding the Fourth Proportional to 13,557.62, 18,709.17 and 7,589

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Solution

The fourth proportional to 13,557.62, 18,709.17 and 7,589 is: 10,472.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,557.62 : 18,709.17 = 7,589 : x
  2. Step 2: Convert to fraction form
    13,557.62/18,709.17 = 7,589/x
  3. Step 3: Cross multiply
    13,557.62x = 18,709.17 × 7,589
  4. Step 4: Simplify right side
    13,557.62x = 141,983,891.13
  5. Step 5: Solve for x
    x = 141,983,891.13/13,557.62
  6. Step 6: Final answer
    x = 10,472.63

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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.