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Finding the Fourth Proportional to 11,352.81, 15,664.41 and 6,634.92

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Solution

The fourth proportional to 11,352.81, 15,664.41 and 6,634.92 is: 9,154.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,352.81 : 15,664.41 = 6,634.92 : x
  2. Step 2: Convert to fraction form
    11,352.81/15,664.41 = 6,634.92/x
  3. Step 3: Cross multiply
    11,352.81x = 15,664.41 × 6,634.92
  4. Step 4: Simplify right side
    11,352.81x = 103,932,107.20
  5. Step 5: Solve for x
    x = 103,932,107.20/11,352.81
  6. Step 6: Final answer
    x = 9,154.75

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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.