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Finding the Fourth Proportional to 13,663.05, 18,855 and 7,694.76

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Solution

The fourth proportional to 13,663.05, 18,855 and 7,694.76 is: 10,618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.05 : 18,855 = 7,694.76 : x
  2. Step 2: Convert to fraction form
    13,663.05/18,855 = 7,694.76/x
  3. Step 3: Cross multiply
    13,663.05x = 18,855 × 7,694.76
  4. Step 4: Simplify right side
    13,663.05x = 145,084,699.80
  5. Step 5: Solve for x
    x = 145,084,699.80/13,663.05
  6. Step 6: Final answer
    x = 10,618.76

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1.5x scale

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.