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Finding the Fourth Proportional to 3,043.78, 4,566.44 and 852.53

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Solution

The fourth proportional to 3,043.78, 4,566.44 and 852.53 is: 1,279.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.78 : 4,566.44 = 852.53 : x
  2. Step 2: Convert to fraction form
    3,043.78/4,566.44 = 852.53/x
  3. Step 3: Cross multiply
    3,043.78x = 4,566.44 × 852.53
  4. Step 4: Simplify right side
    3,043.78x = 3,893,006.39
  5. Step 5: Solve for x
    x = 3,893,006.39/3,043.78
  6. Step 6: Final answer
    x = 1,279.00

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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.