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Finding the Fourth Proportional to 12,311.78, 16,989.86 and 6,934.48

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Solution

The fourth proportional to 12,311.78, 16,989.86 and 6,934.48 is: 9,569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.78 : 16,989.86 = 6,934.48 : x
  2. Step 2: Convert to fraction form
    12,311.78/16,989.86 = 6,934.48/x
  3. Step 3: Cross multiply
    12,311.78x = 16,989.86 × 6,934.48
  4. Step 4: Simplify right side
    12,311.78x = 117,815,844.37
  5. Step 5: Solve for x
    x = 117,815,844.37/12,311.78
  6. Step 6: Final answer
    x = 9,569.36

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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.