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Finding the Fourth Proportional to 12,155.95, 16,770.61 and 7,678

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Solution

The fourth proportional to 12,155.95, 16,770.61 and 7,678 is: 10,592.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155.95 : 16,770.61 = 7,678 : x
  2. Step 2: Convert to fraction form
    12,155.95/16,770.61 = 7,678/x
  3. Step 3: Cross multiply
    12,155.95x = 16,770.61 × 7,678
  4. Step 4: Simplify right side
    12,155.95x = 128,764,743.58
  5. Step 5: Solve for x
    x = 128,764,743.58/12,155.95
  6. Step 6: Final answer
    x = 10,592.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.