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Finding the Fourth Proportional to 11,818, 17,727 and 4,892.68

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Solution

The fourth proportional to 11,818, 17,727 and 4,892.68 is: 7,339.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,818 : 17,727 = 4,892.68 : x
  2. Step 2: Convert to fraction form
    11,818/17,727 = 4,892.68/x
  3. Step 3: Cross multiply
    11,818x = 17,727 × 4,892.68
  4. Step 4: Simplify right side
    11,818x = 86,732,538.36
  5. Step 5: Solve for x
    x = 86,732,538.36/11,818
  6. Step 6: Final answer
    x = 7,339.02

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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.