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Finding the Fourth Proportional to 12,995.46, 17,935.66 and 7,692

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Solution

The fourth proportional to 12,995.46, 17,935.66 and 7,692 is: 10,616.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,995.46 : 17,935.66 = 7,692 : x
  2. Step 2: Convert to fraction form
    12,995.46/17,935.66 = 7,692/x
  3. Step 3: Cross multiply
    12,995.46x = 17,935.66 × 7,692
  4. Step 4: Simplify right side
    12,995.46x = 137,961,096.72
  5. Step 5: Solve for x
    x = 137,961,096.72/12,995.46
  6. Step 6: Final answer
    x = 10,616.10

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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.