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Finding the Fourth Proportional to 12,203.76, 16,840.66 and 7,168.50

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Solution

The fourth proportional to 12,203.76, 16,840.66 and 7,168.50 is: 9,892.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.76 : 16,840.66 = 7,168.50 : x
  2. Step 2: Convert to fraction form
    12,203.76/16,840.66 = 7,168.50/x
  3. Step 3: Cross multiply
    12,203.76x = 16,840.66 × 7,168.50
  4. Step 4: Simplify right side
    12,203.76x = 120,722,266.73
  5. Step 5: Solve for x
    x = 120,722,266.73/12,203.76
  6. Step 6: Final answer
    x = 9,892.22

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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.