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Finding the Fourth Proportional to 16,364, 22,582.32 and 8,912

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Solution

The fourth proportional to 16,364, 22,582.32 and 8,912 is: 12,298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,364 : 22,582.32 = 8,912 : x
  2. Step 2: Convert to fraction form
    16,364/22,582.32 = 8,912/x
  3. Step 3: Cross multiply
    16,364x = 22,582.32 × 8,912
  4. Step 4: Simplify right side
    16,364x = 201,253,635.84
  5. Step 5: Solve for x
    x = 201,253,635.84/16,364
  6. Step 6: Final answer
    x = 12,298.56

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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.