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Finding the Fourth Proportional to 8,140.58, 12,189 and 6,697.16

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Solution

The fourth proportional to 8,140.58, 12,189 and 6,697.16 is: 10,027.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.58 : 12,189 = 6,697.16 : x
  2. Step 2: Convert to fraction form
    8,140.58/12,189 = 6,697.16/x
  3. Step 3: Cross multiply
    8,140.58x = 12,189 × 6,697.16
  4. Step 4: Simplify right side
    8,140.58x = 81,631,683.24
  5. Step 5: Solve for x
    x = 81,631,683.24/8,140.58
  6. Step 6: Final answer
    x = 10,027.75

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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.