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Finding the Fourth Proportional to 7,229.94, 10,826.42 and 6,405.72

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Solution

The fourth proportional to 7,229.94, 10,826.42 and 6,405.72 is: 9,592.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.94 : 10,826.42 = 6,405.72 : x
  2. Step 2: Convert to fraction form
    7,229.94/10,826.42 = 6,405.72/x
  3. Step 3: Cross multiply
    7,229.94x = 10,826.42 × 6,405.72
  4. Step 4: Simplify right side
    7,229.94x = 69,350,983.09
  5. Step 5: Solve for x
    x = 69,350,983.09/7,229.94
  6. Step 6: Final answer
    x = 9,592.19

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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.