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Finding the Fourth Proportional to 8,168.16, 11,266.70 and 6,486.91

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Solution

The fourth proportional to 8,168.16, 11,266.70 and 6,486.91 is: 8,947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,168.16 : 11,266.70 = 6,486.91 : x
  2. Step 2: Convert to fraction form
    8,168.16/11,266.70 = 6,486.91/x
  3. Step 3: Cross multiply
    8,168.16x = 11,266.70 × 6,486.91
  4. Step 4: Simplify right side
    8,168.16x = 73,086,008.30
  5. Step 5: Solve for x
    x = 73,086,008.30/8,168.16
  6. Step 6: Final answer
    x = 8,947.67

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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.