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Finding the Fourth Proportional to 3,043.08, 4,564.53 and 851.75

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Solution

The fourth proportional to 3,043.08, 4,564.53 and 851.75 is: 1,277.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.08 : 4,564.53 = 851.75 : x
  2. Step 2: Convert to fraction form
    3,043.08/4,564.53 = 851.75/x
  3. Step 3: Cross multiply
    3,043.08x = 4,564.53 × 851.75
  4. Step 4: Simplify right side
    3,043.08x = 3,887,832.72
  5. Step 5: Solve for x
    x = 3,887,832.72/3,043.08
  6. Step 6: Final answer
    x = 1,277.60

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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.