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Finding the Fourth Proportional to 22,123.20, 33,184.80 and 10,459.20

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Solution

The fourth proportional to 22,123.20, 33,184.80 and 10,459.20 is: 15,688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,123.20 : 33,184.80 = 10,459.20 : x
  2. Step 2: Convert to fraction form
    22,123.20/33,184.80 = 10,459.20/x
  3. Step 3: Cross multiply
    22,123.20x = 33,184.80 × 10,459.20
  4. Step 4: Simplify right side
    22,123.20x = 347,086,460.16
  5. Step 5: Solve for x
    x = 347,086,460.16/22,123.20
  6. Step 6: Final answer
    x = 15,688.80

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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.