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Finding the Fourth Proportional to 8,220.62, 12,309.03 and 6,423.77

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Solution

The fourth proportional to 8,220.62, 12,309.03 and 6,423.77 is: 9,618.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.62 : 12,309.03 = 6,423.77 : x
  2. Step 2: Convert to fraction form
    8,220.62/12,309.03 = 6,423.77/x
  3. Step 3: Cross multiply
    8,220.62x = 12,309.03 × 6,423.77
  4. Step 4: Simplify right side
    8,220.62x = 79,070,316.10
  5. Step 5: Solve for x
    x = 79,070,316.10/8,220.62
  6. Step 6: Final answer
    x = 9,618.54

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1.5x scale

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.