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Finding the Fourth Proportional to 9,766.42, 13,480.65 and 8,454.22

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Solution

The fourth proportional to 9,766.42, 13,480.65 and 8,454.22 is: 11,669.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.42 : 13,480.65 = 8,454.22 : x
  2. Step 2: Convert to fraction form
    9,766.42/13,480.65 = 8,454.22/x
  3. Step 3: Cross multiply
    9,766.42x = 13,480.65 × 8,454.22
  4. Step 4: Simplify right side
    9,766.42x = 113,968,380.84
  5. Step 5: Solve for x
    x = 113,968,380.84/9,766.42
  6. Step 6: Final answer
    x = 11,669.41

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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.