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Finding the Fourth Proportional to 11,812.56, 17,677.80 and 8,343.60

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Solution

The fourth proportional to 11,812.56, 17,677.80 and 8,343.60 is: 12,486.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.56 : 17,677.80 = 8,343.60 : x
  2. Step 2: Convert to fraction form
    11,812.56/17,677.80 = 8,343.60/x
  3. Step 3: Cross multiply
    11,812.56x = 17,677.80 × 8,343.60
  4. Step 4: Simplify right side
    11,812.56x = 147,496,492.08
  5. Step 5: Solve for x
    x = 147,496,492.08/11,812.56
  6. Step 6: Final answer
    x = 12,486.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.