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Finding the Fourth Proportional to 12,160.86, 16,781.87 and 6,857.39

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Solution

The fourth proportional to 12,160.86, 16,781.87 and 6,857.39 is: 9,463.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160.86 : 16,781.87 = 6,857.39 : x
  2. Step 2: Convert to fraction form
    12,160.86/16,781.87 = 6,857.39/x
  3. Step 3: Cross multiply
    12,160.86x = 16,781.87 × 6,857.39
  4. Step 4: Simplify right side
    12,160.86x = 115,079,709.32
  5. Step 5: Solve for x
    x = 115,079,709.32/12,160.86
  6. Step 6: Final answer
    x = 9,463.12

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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.