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Finding the Fourth Proportional to 12,188.73, 16,822.12 and 7,014.50

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Solution

The fourth proportional to 12,188.73, 16,822.12 and 7,014.50 is: 9,680.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.73 : 16,822.12 = 7,014.50 : x
  2. Step 2: Convert to fraction form
    12,188.73/16,822.12 = 7,014.50/x
  3. Step 3: Cross multiply
    12,188.73x = 16,822.12 × 7,014.50
  4. Step 4: Simplify right side
    12,188.73x = 117,998,760.74
  5. Step 5: Solve for x
    x = 117,998,760.74/12,188.73
  6. Step 6: Final answer
    x = 9,680.97

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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.