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Finding the Fourth Proportional to 16,363, 22,581.12 and 8,911

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Solution

The fourth proportional to 16,363, 22,581.12 and 8,911 is: 12,297.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,363 : 22,581.12 = 8,911 : x
  2. Step 2: Convert to fraction form
    16,363/22,581.12 = 8,911/x
  3. Step 3: Cross multiply
    16,363x = 22,581.12 × 8,911
  4. Step 4: Simplify right side
    16,363x = 201,220,360.32
  5. Step 5: Solve for x
    x = 201,220,360.32/16,363
  6. Step 6: Final answer
    x = 12,297.28

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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.