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Finding the Fourth Proportional to 9,228.60, 12,735 and 5,249.43

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Solution

The fourth proportional to 9,228.60, 12,735 and 5,249.43 is: 7,243.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.60 : 12,735 = 5,249.43 : x
  2. Step 2: Convert to fraction form
    9,228.60/12,735 = 5,249.43/x
  3. Step 3: Cross multiply
    9,228.60x = 12,735 × 5,249.43
  4. Step 4: Simplify right side
    9,228.60x = 66,851,491.05
  5. Step 5: Solve for x
    x = 66,851,491.05/9,228.60
  6. Step 6: Final answer
    x = 7,243.95

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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.