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Finding the Fourth Proportional to 8,097.80, 12,132.30 and 6,945.80

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Solution

The fourth proportional to 8,097.80, 12,132.30 and 6,945.80 is: 10,406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.80 : 12,132.30 = 6,945.80 : x
  2. Step 2: Convert to fraction form
    8,097.80/12,132.30 = 6,945.80/x
  3. Step 3: Cross multiply
    8,097.80x = 12,132.30 × 6,945.80
  4. Step 4: Simplify right side
    8,097.80x = 84,268,529.34
  5. Step 5: Solve for x
    x = 84,268,529.34/8,097.80
  6. Step 6: Final answer
    x = 10,406.35

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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.