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Finding the Fourth Proportional to 8,123.40, 12,148.65 and 6,811.20

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Solution

The fourth proportional to 8,123.40, 12,148.65 and 6,811.20 is: 10,186.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.40 : 12,148.65 = 6,811.20 : x
  2. Step 2: Convert to fraction form
    8,123.40/12,148.65 = 6,811.20/x
  3. Step 3: Cross multiply
    8,123.40x = 12,148.65 × 6,811.20
  4. Step 4: Simplify right side
    8,123.40x = 82,746,884.88
  5. Step 5: Solve for x
    x = 82,746,884.88/8,123.40
  6. Step 6: Final answer
    x = 10,186.24

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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.