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Finding the Fourth Proportional to 9,201.78, 12,695.22 and 7,077.96

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Solution

The fourth proportional to 9,201.78, 12,695.22 and 7,077.96 is: 9,765.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.78 : 12,695.22 = 7,077.96 : x
  2. Step 2: Convert to fraction form
    9,201.78/12,695.22 = 7,077.96/x
  3. Step 3: Cross multiply
    9,201.78x = 12,695.22 × 7,077.96
  4. Step 4: Simplify right side
    9,201.78x = 89,856,259.35
  5. Step 5: Solve for x
    x = 89,856,259.35/9,201.78
  6. Step 6: Final answer
    x = 9,765.10

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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.