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Finding the Fourth Proportional to 12,170.66, 16,795.63 and 7,135.01

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Solution

The fourth proportional to 12,170.66, 16,795.63 and 7,135.01 is: 9,846.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.66 : 16,795.63 = 7,135.01 : x
  2. Step 2: Convert to fraction form
    12,170.66/16,795.63 = 7,135.01/x
  3. Step 3: Cross multiply
    12,170.66x = 16,795.63 × 7,135.01
  4. Step 4: Simplify right side
    12,170.66x = 119,837,003.10
  5. Step 5: Solve for x
    x = 119,837,003.10/12,170.66
  6. Step 6: Final answer
    x = 9,846.39

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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.