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Finding the Fourth Proportional to 9,011.78, 12,435.09 and 5,872.22

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Solution

The fourth proportional to 9,011.78, 12,435.09 and 5,872.22 is: 8,102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,011.78 : 12,435.09 = 5,872.22 : x
  2. Step 2: Convert to fraction form
    9,011.78/12,435.09 = 5,872.22/x
  3. Step 3: Cross multiply
    9,011.78x = 12,435.09 × 5,872.22
  4. Step 4: Simplify right side
    9,011.78x = 73,021,584.20
  5. Step 5: Solve for x
    x = 73,021,584.20/9,011.78
  6. Step 6: Final answer
    x = 8,102.90

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Half scale
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Double scale
Find fourth proportional to 9,012.78, 12,436.47 and 5,873.22
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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.