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Finding the Fourth Proportional to 5,201.63, 7,803.28 and 1,691.37

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Solution

The fourth proportional to 5,201.63, 7,803.28 and 1,691.37 is: 2,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.63 : 7,803.28 = 1,691.37 : x
  2. Step 2: Convert to fraction form
    5,201.63/7,803.28 = 1,691.37/x
  3. Step 3: Cross multiply
    5,201.63x = 7,803.28 × 1,691.37
  4. Step 4: Simplify right side
    5,201.63x = 13,198,214.19
  5. Step 5: Solve for x
    x = 13,198,214.19/5,201.63
  6. Step 6: Final answer
    x = 2,537.32

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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.