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Finding the Fourth Proportional to 12,173.36, 16,803.96 and 7,142

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Solution

The fourth proportional to 12,173.36, 16,803.96 and 7,142 is: 9,858.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,173.36 : 16,803.96 = 7,142 : x
  2. Step 2: Convert to fraction form
    12,173.36/16,803.96 = 7,142/x
  3. Step 3: Cross multiply
    12,173.36x = 16,803.96 × 7,142
  4. Step 4: Simplify right side
    12,173.36x = 120,013,882.32
  5. Step 5: Solve for x
    x = 120,013,882.32/12,173.36
  6. Step 6: Final answer
    x = 9,858.73

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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.