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Finding the Fourth Proportional to 6,889.92, 10,346.40 and 6,836.16

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Solution

The fourth proportional to 6,889.92, 10,346.40 and 6,836.16 is: 10,265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.92 : 10,346.40 = 6,836.16 : x
  2. Step 2: Convert to fraction form
    6,889.92/10,346.40 = 6,836.16/x
  3. Step 3: Cross multiply
    6,889.92x = 10,346.40 × 6,836.16
  4. Step 4: Simplify right side
    6,889.92x = 70,729,645.82
  5. Step 5: Solve for x
    x = 70,729,645.82/6,889.92
  6. Step 6: Final answer
    x = 10,265.67

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1.5x scale

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.