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Finding the Fourth Proportional to 8,123.95, 12,158.20 and 6,809.18

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Solution

The fourth proportional to 8,123.95, 12,158.20 and 6,809.18 is: 10,190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.95 : 12,158.20 = 6,809.18 : x
  2. Step 2: Convert to fraction form
    8,123.95/12,158.20 = 6,809.18/x
  3. Step 3: Cross multiply
    8,123.95x = 12,158.20 × 6,809.18
  4. Step 4: Simplify right side
    8,123.95x = 82,787,368.63
  5. Step 5: Solve for x
    x = 82,787,368.63/8,123.95
  6. Step 6: Final answer
    x = 10,190.54

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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.