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Finding the Fourth Proportional to 17,742.71, 26,618.63 and 6,649.49

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Solution

The fourth proportional to 17,742.71, 26,618.63 and 6,649.49 is: 9,975.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742.71 : 26,618.63 = 6,649.49 : x
  2. Step 2: Convert to fraction form
    17,742.71/26,618.63 = 6,649.49/x
  3. Step 3: Cross multiply
    17,742.71x = 26,618.63 × 6,649.49
  4. Step 4: Simplify right side
    17,742.71x = 177,000,347.30
  5. Step 5: Solve for x
    x = 177,000,347.30/17,742.71
  6. Step 6: Final answer
    x = 9,975.95

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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.