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Finding the Fourth Proportional to 12,188.85, 16,820.19 and 6,812.24

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Solution

The fourth proportional to 12,188.85, 16,820.19 and 6,812.24 is: 9,400.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.85 : 16,820.19 = 6,812.24 : x
  2. Step 2: Convert to fraction form
    12,188.85/16,820.19 = 6,812.24/x
  3. Step 3: Cross multiply
    12,188.85x = 16,820.19 × 6,812.24
  4. Step 4: Simplify right side
    12,188.85x = 114,583,087.02
  5. Step 5: Solve for x
    x = 114,583,087.02/12,188.85
  6. Step 6: Final answer
    x = 9,400.65

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Half scale
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Double scale
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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.