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Finding the Fourth Proportional to 13,764, 18,995.65 and 7,715.27

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Solution

The fourth proportional to 13,764, 18,995.65 and 7,715.27 is: 10,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764 : 18,995.65 = 7,715.27 : x
  2. Step 2: Convert to fraction form
    13,764/18,995.65 = 7,715.27/x
  3. Step 3: Cross multiply
    13,764x = 18,995.65 × 7,715.27
  4. Step 4: Simplify right side
    13,764x = 146,556,568.58
  5. Step 5: Solve for x
    x = 146,556,568.58/13,764
  6. Step 6: Final answer
    x = 10,647.82

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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.