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Finding the Fourth Proportional to 11,699, 16,144.62 and 7,726.76

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Solution

The fourth proportional to 11,699, 16,144.62 and 7,726.76 is: 10,662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699 : 16,144.62 = 7,726.76 : x
  2. Step 2: Convert to fraction form
    11,699/16,144.62 = 7,726.76/x
  3. Step 3: Cross multiply
    11,699x = 16,144.62 × 7,726.76
  4. Step 4: Simplify right side
    11,699x = 124,745,604.03
  5. Step 5: Solve for x
    x = 124,745,604.03/11,699
  6. Step 6: Final answer
    x = 10,662.93

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Double scale
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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.