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Finding the Fourth Proportional to 12,119.05, 16,718.82 and 7,081

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Solution

The fourth proportional to 12,119.05, 16,718.82 and 7,081 is: 9,768.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,119.05 : 16,718.82 = 7,081 : x
  2. Step 2: Convert to fraction form
    12,119.05/16,718.82 = 7,081/x
  3. Step 3: Cross multiply
    12,119.05x = 16,718.82 × 7,081
  4. Step 4: Simplify right side
    12,119.05x = 118,385,929.02
  5. Step 5: Solve for x
    x = 118,385,929.02/12,119.05
  6. Step 6: Final answer
    x = 9,768.59

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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.