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Finding the Fourth Proportional to 7,229.60, 10,786.06 and 6,440.74

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Solution

The fourth proportional to 7,229.60, 10,786.06 and 6,440.74 is: 9,609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.60 : 10,786.06 = 6,440.74 : x
  2. Step 2: Convert to fraction form
    7,229.60/10,786.06 = 6,440.74/x
  3. Step 3: Cross multiply
    7,229.60x = 10,786.06 × 6,440.74
  4. Step 4: Simplify right side
    7,229.60x = 69,470,154.15
  5. Step 5: Solve for x
    x = 69,470,154.15/7,229.60
  6. Step 6: Final answer
    x = 9,609.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.