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Finding the Fourth Proportional to 9,201.78, 12,699.27 and 5,224.14

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Solution

The fourth proportional to 9,201.78, 12,699.27 and 5,224.14 is: 7,209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.78 : 12,699.27 = 5,224.14 : x
  2. Step 2: Convert to fraction form
    9,201.78/12,699.27 = 5,224.14/x
  3. Step 3: Cross multiply
    9,201.78x = 12,699.27 × 5,224.14
  4. Step 4: Simplify right side
    9,201.78x = 66,342,764.38
  5. Step 5: Solve for x
    x = 66,342,764.38/9,201.78
  6. Step 6: Final answer
    x = 7,209.78

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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.