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Finding the Fourth Proportional to 9,205.84, 13,790.40 and 8,449.84

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Solution

The fourth proportional to 9,205.84, 13,790.40 and 8,449.84 is: 12,657.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.84 : 13,790.40 = 8,449.84 : x
  2. Step 2: Convert to fraction form
    9,205.84/13,790.40 = 8,449.84/x
  3. Step 3: Cross multiply
    9,205.84x = 13,790.40 × 8,449.84
  4. Step 4: Simplify right side
    9,205.84x = 116,526,673.54
  5. Step 5: Solve for x
    x = 116,526,673.54/9,205.84
  6. Step 6: Final answer
    x = 12,657.91

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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.