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Finding the Fourth Proportional to 11,766.81, 17,654.27 and 7,379.13

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Solution

The fourth proportional to 11,766.81, 17,654.27 and 7,379.13 is: 11,071.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.81 : 17,654.27 = 7,379.13 : x
  2. Step 2: Convert to fraction form
    11,766.81/17,654.27 = 7,379.13/x
  3. Step 3: Cross multiply
    11,766.81x = 17,654.27 × 7,379.13
  4. Step 4: Simplify right side
    11,766.81x = 130,273,116.49
  5. Step 5: Solve for x
    x = 130,273,116.49/11,766.81
  6. Step 6: Final answer
    x = 11,071.23

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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.