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Finding the Fourth Proportional to 12,142, 16,754.70 and 7,105.96

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Solution

The fourth proportional to 12,142, 16,754.70 and 7,105.96 is: 9,805.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142 : 16,754.70 = 7,105.96 : x
  2. Step 2: Convert to fraction form
    12,142/16,754.70 = 7,105.96/x
  3. Step 3: Cross multiply
    12,142x = 16,754.70 × 7,105.96
  4. Step 4: Simplify right side
    12,142x = 119,058,228.01
  5. Step 5: Solve for x
    x = 119,058,228.01/12,142
  6. Step 6: Final answer
    x = 9,805.49

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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.