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Finding the Fourth Proportional to 12,188.75, 16,815.46 and 8,211.15

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Solution

The fourth proportional to 12,188.75, 16,815.46 and 8,211.15 is: 11,328.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.75 : 16,815.46 = 8,211.15 : x
  2. Step 2: Convert to fraction form
    12,188.75/16,815.46 = 8,211.15/x
  3. Step 3: Cross multiply
    12,188.75x = 16,815.46 × 8,211.15
  4. Step 4: Simplify right side
    12,188.75x = 138,074,264.38
  5. Step 5: Solve for x
    x = 138,074,264.38/12,188.75
  6. Step 6: Final answer
    x = 11,328.01

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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.