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Finding the Fourth Proportional to 16,280, 22,466.40 and 8,828

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Solution

The fourth proportional to 16,280, 22,466.40 and 8,828 is: 12,182.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,280 : 22,466.40 = 8,828 : x
  2. Step 2: Convert to fraction form
    16,280/22,466.40 = 8,828/x
  3. Step 3: Cross multiply
    16,280x = 22,466.40 × 8,828
  4. Step 4: Simplify right side
    16,280x = 198,333,379.20
  5. Step 5: Solve for x
    x = 198,333,379.20/16,280
  6. Step 6: Final answer
    x = 12,182.64

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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.