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Finding the Fourth Proportional to 9,229.71, 13,846.76 and 2,989.72

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Solution

The fourth proportional to 9,229.71, 13,846.76 and 2,989.72 is: 4,485.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.71 : 13,846.76 = 2,989.72 : x
  2. Step 2: Convert to fraction form
    9,229.71/13,846.76 = 2,989.72/x
  3. Step 3: Cross multiply
    9,229.71x = 13,846.76 × 2,989.72
  4. Step 4: Simplify right side
    9,229.71x = 41,397,935.31
  5. Step 5: Solve for x
    x = 41,397,935.31/9,229.71
  6. Step 6: Final answer
    x = 4,485.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.