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Finding the Fourth Proportional to 22,117.80, 33,182.38 and 13,408.68

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Solution

The fourth proportional to 22,117.80, 33,182.38 and 13,408.68 is: 20,116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,117.80 : 33,182.38 = 13,408.68 : x
  2. Step 2: Convert to fraction form
    22,117.80/33,182.38 = 13,408.68/x
  3. Step 3: Cross multiply
    22,117.80x = 33,182.38 × 13,408.68
  4. Step 4: Simplify right side
    22,117.80x = 444,931,915.06
  5. Step 5: Solve for x
    x = 444,931,915.06/22,117.80
  6. Step 6: Final answer
    x = 20,116.46

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