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Finding the Fourth Proportional to 11,619.84, 17,420.02 and 8,099.52

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Solution

The fourth proportional to 11,619.84, 17,420.02 and 8,099.52 is: 12,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,619.84 : 17,420.02 = 8,099.52 : x
  2. Step 2: Convert to fraction form
    11,619.84/17,420.02 = 8,099.52/x
  3. Step 3: Cross multiply
    11,619.84x = 17,420.02 × 8,099.52
  4. Step 4: Simplify right side
    11,619.84x = 141,093,800.39
  5. Step 5: Solve for x
    x = 141,093,800.39/11,619.84
  6. Step 6: Final answer
    x = 12,142.49

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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.