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Finding the Fourth Proportional to 6,113.76, 9,170.64 and 3,515.04

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Solution

The fourth proportional to 6,113.76, 9,170.64 and 3,515.04 is: 5,272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.76 : 9,170.64 = 3,515.04 : x
  2. Step 2: Convert to fraction form
    6,113.76/9,170.64 = 3,515.04/x
  3. Step 3: Cross multiply
    6,113.76x = 9,170.64 × 3,515.04
  4. Step 4: Simplify right side
    6,113.76x = 32,235,166.43
  5. Step 5: Solve for x
    x = 32,235,166.43/6,113.76
  6. Step 6: Final answer
    x = 5,272.56

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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.