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Finding the Fourth Proportional to 9,502.33, 13,116.92 and 8,505.89

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Solution

The fourth proportional to 9,502.33, 13,116.92 and 8,505.89 is: 11,741.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.33 : 13,116.92 = 8,505.89 : x
  2. Step 2: Convert to fraction form
    9,502.33/13,116.92 = 8,505.89/x
  3. Step 3: Cross multiply
    9,502.33x = 13,116.92 × 8,505.89
  4. Step 4: Simplify right side
    9,502.33x = 111,571,078.66
  5. Step 5: Solve for x
    x = 111,571,078.66/9,502.33
  6. Step 6: Final answer
    x = 11,741.44

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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.