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Finding the Fourth Proportional to 22,830.72, 34,236.36 and 8,970

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Solution

The fourth proportional to 22,830.72, 34,236.36 and 8,970 is: 13,451.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,830.72 : 34,236.36 = 8,970 : x
  2. Step 2: Convert to fraction form
    22,830.72/34,236.36 = 8,970/x
  3. Step 3: Cross multiply
    22,830.72x = 34,236.36 × 8,970
  4. Step 4: Simplify right side
    22,830.72x = 307,100,149.20
  5. Step 5: Solve for x
    x = 307,100,149.20/22,830.72
  6. Step 6: Final answer
    x = 13,451.18

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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.