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Finding the Fourth Proportional to 12,158, 16,768.64 and 7,680.12

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Solution

The fourth proportional to 12,158, 16,768.64 and 7,680.12 is: 10,592.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,158 : 16,768.64 = 7,680.12 : x
  2. Step 2: Convert to fraction form
    12,158/16,768.64 = 7,680.12/x
  3. Step 3: Cross multiply
    12,158x = 16,768.64 × 7,680.12
  4. Step 4: Simplify right side
    12,158x = 128,785,167.44
  5. Step 5: Solve for x
    x = 128,785,167.44/12,158
  6. Step 6: Final answer
    x = 10,592.63

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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.