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Finding the Fourth Proportional to 12,168.42, 16,789.24 and 7,129.93

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Solution

The fourth proportional to 12,168.42, 16,789.24 and 7,129.93 is: 9,837.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,168.42 : 16,789.24 = 7,129.93 : x
  2. Step 2: Convert to fraction form
    12,168.42/16,789.24 = 7,129.93/x
  3. Step 3: Cross multiply
    12,168.42x = 16,789.24 × 7,129.93
  4. Step 4: Simplify right side
    12,168.42x = 119,706,104.37
  5. Step 5: Solve for x
    x = 119,706,104.37/12,168.42
  6. Step 6: Final answer
    x = 9,837.44

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1.5x scale

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.