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Finding the Fourth Proportional to 9,209.78, 12,699.43 and 6,220.42

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Solution

The fourth proportional to 9,209.78, 12,699.43 and 6,220.42 is: 8,577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.78 : 12,699.43 = 6,220.42 : x
  2. Step 2: Convert to fraction form
    9,209.78/12,699.43 = 6,220.42/x
  3. Step 3: Cross multiply
    9,209.78x = 12,699.43 × 6,220.42
  4. Step 4: Simplify right side
    9,209.78x = 78,995,812.01
  5. Step 5: Solve for x
    x = 78,995,812.01/9,209.78
  6. Step 6: Final answer
    x = 8,577.39

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.