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Finding the Fourth Proportional to 2,046.78, 3,068.01 and 812.48

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Solution

The fourth proportional to 2,046.78, 3,068.01 and 812.48 is: 1,217.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.78 : 3,068.01 = 812.48 : x
  2. Step 2: Convert to fraction form
    2,046.78/3,068.01 = 812.48/x
  3. Step 3: Cross multiply
    2,046.78x = 3,068.01 × 812.48
  4. Step 4: Simplify right side
    2,046.78x = 2,492,681.42
  5. Step 5: Solve for x
    x = 2,492,681.42/2,046.78
  6. Step 6: Final answer
    x = 1,217.86

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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.