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Finding the Fourth Proportional to 10,112.68, 15,169.14 and 3,538.84

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Solution

The fourth proportional to 10,112.68, 15,169.14 and 3,538.84 is: 5,308.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,112.68 : 15,169.14 = 3,538.84 : x
  2. Step 2: Convert to fraction form
    10,112.68/15,169.14 = 3,538.84/x
  3. Step 3: Cross multiply
    10,112.68x = 15,169.14 × 3,538.84
  4. Step 4: Simplify right side
    10,112.68x = 53,681,159.40
  5. Step 5: Solve for x
    x = 53,681,159.40/10,112.68
  6. Step 6: Final answer
    x = 5,308.30

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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.