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Finding the Fourth Proportional to 9,202.56, 12,695.77 and 6,409.68

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Solution

The fourth proportional to 9,202.56, 12,695.77 and 6,409.68 is: 8,842.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.56 : 12,695.77 = 6,409.68 : x
  2. Step 2: Convert to fraction form
    9,202.56/12,695.77 = 6,409.68/x
  3. Step 3: Cross multiply
    9,202.56x = 12,695.77 × 6,409.68
  4. Step 4: Simplify right side
    9,202.56x = 81,375,823.05
  5. Step 5: Solve for x
    x = 81,375,823.05/9,202.56
  6. Step 6: Final answer
    x = 8,842.74

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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.