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Finding the Fourth Proportional to 9,726.58, 14,589.87 and 7,769.62

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Solution

The fourth proportional to 9,726.58, 14,589.87 and 7,769.62 is: 11,654.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.58 : 14,589.87 = 7,769.62 : x
  2. Step 2: Convert to fraction form
    9,726.58/14,589.87 = 7,769.62/x
  3. Step 3: Cross multiply
    9,726.58x = 14,589.87 × 7,769.62
  4. Step 4: Simplify right side
    9,726.58x = 113,357,745.75
  5. Step 5: Solve for x
    x = 113,357,745.75/9,726.58
  6. Step 6: Final answer
    x = 11,654.43

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Double scale
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Similar ratio
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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.