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Finding the Fourth Proportional to 8,220.50, 12,331.02 and 2,064.50

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Solution

The fourth proportional to 8,220.50, 12,331.02 and 2,064.50 is: 3,096.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.50 : 12,331.02 = 2,064.50 : x
  2. Step 2: Convert to fraction form
    8,220.50/12,331.02 = 2,064.50/x
  3. Step 3: Cross multiply
    8,220.50x = 12,331.02 × 2,064.50
  4. Step 4: Simplify right side
    8,220.50x = 25,457,390.79
  5. Step 5: Solve for x
    x = 25,457,390.79/8,220.50
  6. Step 6: Final answer
    x = 3,096.82

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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.