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Finding the Fourth Proportional to 27,102.26, 40,653.40 and 17,866.10

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Solution

The fourth proportional to 27,102.26, 40,653.40 and 17,866.10 is: 26,799.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,102.26 : 40,653.40 = 17,866.10 : x
  2. Step 2: Convert to fraction form
    27,102.26/40,653.40 = 17,866.10/x
  3. Step 3: Cross multiply
    27,102.26x = 40,653.40 × 17,866.10
  4. Step 4: Simplify right side
    27,102.26x = 726,317,620.41
  5. Step 5: Solve for x
    x = 726,317,620.41/27,102.26
  6. Step 6: Final answer
    x = 26,799.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.