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Finding the Fourth Proportional to 10,493.82, 15,701.85 and 7,722.54

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Solution

The fourth proportional to 10,493.82, 15,701.85 and 7,722.54 is: 11,555.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.82 : 15,701.85 = 7,722.54 : x
  2. Step 2: Convert to fraction form
    10,493.82/15,701.85 = 7,722.54/x
  3. Step 3: Cross multiply
    10,493.82x = 15,701.85 × 7,722.54
  4. Step 4: Simplify right side
    10,493.82x = 121,258,164.70
  5. Step 5: Solve for x
    x = 121,258,164.70/10,493.82
  6. Step 6: Final answer
    x = 11,555.20

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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.