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Finding the Fourth Proportional to 9,201.05, 12,697.88 and 5,424.38

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Solution

The fourth proportional to 9,201.05, 12,697.88 and 5,424.38 is: 7,485.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.05 : 12,697.88 = 5,424.38 : x
  2. Step 2: Convert to fraction form
    9,201.05/12,697.88 = 5,424.38/x
  3. Step 3: Cross multiply
    9,201.05x = 12,697.88 × 5,424.38
  4. Step 4: Simplify right side
    9,201.05x = 68,878,126.31
  5. Step 5: Solve for x
    x = 68,878,126.31/9,201.05
  6. Step 6: Final answer
    x = 7,485.90

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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.