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Finding the Fourth Proportional to 9,181, 12,672.78 and 5,404.12

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Solution

The fourth proportional to 9,181, 12,672.78 and 5,404.12 is: 7,459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181 : 12,672.78 = 5,404.12 : x
  2. Step 2: Convert to fraction form
    9,181/12,672.78 = 5,404.12/x
  3. Step 3: Cross multiply
    9,181x = 12,672.78 × 5,404.12
  4. Step 4: Simplify right side
    9,181x = 68,485,223.85
  5. Step 5: Solve for x
    x = 68,485,223.85/9,181
  6. Step 6: Final answer
    x = 7,459.45

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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.