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Finding the Fourth Proportional to 10,554.99, 15,821.09 and 6,859.87

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Solution

The fourth proportional to 10,554.99, 15,821.09 and 6,859.87 is: 10,282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,554.99 : 15,821.09 = 6,859.87 : x
  2. Step 2: Convert to fraction form
    10,554.99/15,821.09 = 6,859.87/x
  3. Step 3: Cross multiply
    10,554.99x = 15,821.09 × 6,859.87
  4. Step 4: Simplify right side
    10,554.99x = 108,530,586.36
  5. Step 5: Solve for x
    x = 108,530,586.36/10,554.99
  6. Step 6: Final answer
    x = 10,282.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.