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Finding the Fourth Proportional to 8,511.14, 12,770.14 and 4,128.14

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Solution

The fourth proportional to 8,511.14, 12,770.14 and 4,128.14 is: 6,193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.14 : 12,770.14 = 4,128.14 : x
  2. Step 2: Convert to fraction form
    8,511.14/12,770.14 = 4,128.14/x
  3. Step 3: Cross multiply
    8,511.14x = 12,770.14 × 4,128.14
  4. Step 4: Simplify right side
    8,511.14x = 52,716,925.74
  5. Step 5: Solve for x
    x = 52,716,925.74/8,511.14
  6. Step 6: Final answer
    x = 6,193.87

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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.