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Finding the Fourth Proportional to 3,152.78, 4,729.14 and 812.78

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Solution

The fourth proportional to 3,152.78, 4,729.14 and 812.78 is: 1,219.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.78 : 4,729.14 = 812.78 : x
  2. Step 2: Convert to fraction form
    3,152.78/4,729.14 = 812.78/x
  3. Step 3: Cross multiply
    3,152.78x = 4,729.14 × 812.78
  4. Step 4: Simplify right side
    3,152.78x = 3,843,750.41
  5. Step 5: Solve for x
    x = 3,843,750.41/3,152.78
  6. Step 6: Final answer
    x = 1,219.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.