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Finding the Fourth Proportional to 11,788.29, 17,688.44 and 7,842.32

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Solution

The fourth proportional to 11,788.29, 17,688.44 and 7,842.32 is: 11,767.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788.29 : 17,688.44 = 7,842.32 : x
  2. Step 2: Convert to fraction form
    11,788.29/17,688.44 = 7,842.32/x
  3. Step 3: Cross multiply
    11,788.29x = 17,688.44 × 7,842.32
  4. Step 4: Simplify right side
    11,788.29x = 138,718,279.13
  5. Step 5: Solve for x
    x = 138,718,279.13/11,788.29
  6. Step 6: Final answer
    x = 11,767.46

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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.