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Finding the Fourth Proportional to 4,812.44, 6,642.22 and 3,046.40

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Solution

The fourth proportional to 4,812.44, 6,642.22 and 3,046.40 is: 4,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812.44 : 6,642.22 = 3,046.40 : x
  2. Step 2: Convert to fraction form
    4,812.44/6,642.22 = 3,046.40/x
  3. Step 3: Cross multiply
    4,812.44x = 6,642.22 × 3,046.40
  4. Step 4: Simplify right side
    4,812.44x = 20,234,859.01
  5. Step 5: Solve for x
    x = 20,234,859.01/4,812.44
  6. Step 6: Final answer
    x = 4,204.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.