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Finding the Fourth Proportional to 12,155.90, 16,780.74 and 7,119.42

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Solution

The fourth proportional to 12,155.90, 16,780.74 and 7,119.42 is: 9,828.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155.90 : 16,780.74 = 7,119.42 : x
  2. Step 2: Convert to fraction form
    12,155.90/16,780.74 = 7,119.42/x
  3. Step 3: Cross multiply
    12,155.90x = 16,780.74 × 7,119.42
  4. Step 4: Simplify right side
    12,155.90x = 119,469,135.97
  5. Step 5: Solve for x
    x = 119,469,135.97/12,155.90
  6. Step 6: Final answer
    x = 9,828.08

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1.5x scale

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.