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Finding the Fourth Proportional to 12,100, 16,697.20 and 6,722.40

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Solution

The fourth proportional to 12,100, 16,697.20 and 6,722.40 is: 9,276.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,100 : 16,697.20 = 6,722.40 : x
  2. Step 2: Convert to fraction form
    12,100/16,697.20 = 6,722.40/x
  3. Step 3: Cross multiply
    12,100x = 16,697.20 × 6,722.40
  4. Step 4: Simplify right side
    12,100x = 112,245,257.28
  5. Step 5: Solve for x
    x = 112,245,257.28/12,100
  6. Step 6: Final answer
    x = 9,276.47

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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.