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Finding the Fourth Proportional to 6,113.46, 9,172.16 and 2,782.90

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Solution

The fourth proportional to 6,113.46, 9,172.16 and 2,782.90 is: 4,175.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.46 : 9,172.16 = 2,782.90 : x
  2. Step 2: Convert to fraction form
    6,113.46/9,172.16 = 2,782.90/x
  3. Step 3: Cross multiply
    6,113.46x = 9,172.16 × 2,782.90
  4. Step 4: Simplify right side
    6,113.46x = 25,525,167.22
  5. Step 5: Solve for x
    x = 25,525,167.22/6,113.46
  6. Step 6: Final answer
    x = 4,175.24

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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.