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Finding the Fourth Proportional to 8,099.70, 11,173.65 and 6,978.69

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Solution

The fourth proportional to 8,099.70, 11,173.65 and 6,978.69 is: 9,627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.70 : 11,173.65 = 6,978.69 : x
  2. Step 2: Convert to fraction form
    8,099.70/11,173.65 = 6,978.69/x
  3. Step 3: Cross multiply
    8,099.70x = 11,173.65 × 6,978.69
  4. Step 4: Simplify right side
    8,099.70x = 77,977,439.52
  5. Step 5: Solve for x
    x = 77,977,439.52/8,099.70
  6. Step 6: Final answer
    x = 9,627.20

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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.