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Finding the Fourth Proportional to 16,280, 22,467.36 and 9,911.04

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Solution

The fourth proportional to 16,280, 22,467.36 and 9,911.04 is: 13,677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,280 : 22,467.36 = 9,911.04 : x
  2. Step 2: Convert to fraction form
    16,280/22,467.36 = 9,911.04/x
  3. Step 3: Cross multiply
    16,280x = 22,467.36 × 9,911.04
  4. Step 4: Simplify right side
    16,280x = 222,674,903.65
  5. Step 5: Solve for x
    x = 222,674,903.65/16,280
  6. Step 6: Final answer
    x = 13,677.82

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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.