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Finding the Fourth Proportional to 23,009.94, 34,520.13 and 8,220.42

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Solution

The fourth proportional to 23,009.94, 34,520.13 and 8,220.42 is: 12,332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,009.94 : 34,520.13 = 8,220.42 : x
  2. Step 2: Convert to fraction form
    23,009.94/34,520.13 = 8,220.42/x
  3. Step 3: Cross multiply
    23,009.94x = 34,520.13 × 8,220.42
  4. Step 4: Simplify right side
    23,009.94x = 283,769,967.05
  5. Step 5: Solve for x
    x = 283,769,967.05/23,009.94
  6. Step 6: Final answer
    x = 12,332.49

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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.