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Finding the Fourth Proportional to 22,830.30, 34,221.15 and 8,784.90

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Solution

The fourth proportional to 22,830.30, 34,221.15 and 8,784.90 is: 13,168.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,830.30 : 34,221.15 = 8,784.90 : x
  2. Step 2: Convert to fraction form
    22,830.30/34,221.15 = 8,784.90/x
  3. Step 3: Cross multiply
    22,830.30x = 34,221.15 × 8,784.90
  4. Step 4: Simplify right side
    22,830.30x = 300,629,380.64
  5. Step 5: Solve for x
    x = 300,629,380.64/22,830.30
  6. Step 6: Final answer
    x = 13,168.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.