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Finding the Fourth Proportional to 9,856, 13,601.28 and 6,717.67

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Solution

The fourth proportional to 9,856, 13,601.28 and 6,717.67 is: 9,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856 : 13,601.28 = 6,717.67 : x
  2. Step 2: Convert to fraction form
    9,856/13,601.28 = 6,717.67/x
  3. Step 3: Cross multiply
    9,856x = 13,601.28 × 6,717.67
  4. Step 4: Simplify right side
    9,856x = 91,368,910.62
  5. Step 5: Solve for x
    x = 91,368,910.62/9,856
  6. Step 6: Final answer
    x = 9,270.38

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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.