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Finding the Fourth Proportional to 6,117.88, 9,172.44 and 4,949.32

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Solution

The fourth proportional to 6,117.88, 9,172.44 and 4,949.32 is: 7,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.88 : 9,172.44 = 4,949.32 : x
  2. Step 2: Convert to fraction form
    6,117.88/9,172.44 = 4,949.32/x
  3. Step 3: Cross multiply
    6,117.88x = 9,172.44 × 4,949.32
  4. Step 4: Simplify right side
    6,117.88x = 45,397,340.74
  5. Step 5: Solve for x
    x = 45,397,340.74/6,117.88
  6. Step 6: Final answer
    x = 7,420.44

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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.