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Finding the Fourth Proportional to 22,072, 30,459.36 and 12,136.64

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Solution

The fourth proportional to 22,072, 30,459.36 and 12,136.64 is: 16,748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,072 : 30,459.36 = 12,136.64 : x
  2. Step 2: Convert to fraction form
    22,072/30,459.36 = 12,136.64/x
  3. Step 3: Cross multiply
    22,072x = 30,459.36 × 12,136.64
  4. Step 4: Simplify right side
    22,072x = 369,674,286.95
  5. Step 5: Solve for x
    x = 369,674,286.95/22,072
  6. Step 6: Final answer
    x = 16,748.56

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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.