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Finding the Fourth Proportional to 11,493.13, 15,866.58 and 7,736.05

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Solution

The fourth proportional to 11,493.13, 15,866.58 and 7,736.05 is: 10,679.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.13 : 15,866.58 = 7,736.05 : x
  2. Step 2: Convert to fraction form
    11,493.13/15,866.58 = 7,736.05/x
  3. Step 3: Cross multiply
    11,493.13x = 15,866.58 × 7,736.05
  4. Step 4: Simplify right side
    11,493.13x = 122,744,656.21
  5. Step 5: Solve for x
    x = 122,744,656.21/11,493.13
  6. Step 6: Final answer
    x = 10,679.83

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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.