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Finding the Fourth Proportional to 10,506.75, 15,749.49 and 6,811.33

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Solution

The fourth proportional to 10,506.75, 15,749.49 and 6,811.33 is: 10,210.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.75 : 15,749.49 = 6,811.33 : x
  2. Step 2: Convert to fraction form
    10,506.75/15,749.49 = 6,811.33/x
  3. Step 3: Cross multiply
    10,506.75x = 15,749.49 × 6,811.33
  4. Step 4: Simplify right side
    10,506.75x = 107,274,894.97
  5. Step 5: Solve for x
    x = 107,274,894.97/10,506.75
  6. Step 6: Final answer
    x = 10,210.09

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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.