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Finding the Fourth Proportional to 12,117.66, 16,721.46 and 6,811.44

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Solution

The fourth proportional to 12,117.66, 16,721.46 and 6,811.44 is: 9,399.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,117.66 : 16,721.46 = 6,811.44 : x
  2. Step 2: Convert to fraction form
    12,117.66/16,721.46 = 6,811.44/x
  3. Step 3: Cross multiply
    12,117.66x = 16,721.46 × 6,811.44
  4. Step 4: Simplify right side
    12,117.66x = 113,897,221.50
  5. Step 5: Solve for x
    x = 113,897,221.50/12,117.66
  6. Step 6: Final answer
    x = 9,399.28

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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.