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Finding the Fourth Proportional to 5,201.64, 7,802.14 and 1,691.84

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Solution

The fourth proportional to 5,201.64, 7,802.14 and 1,691.84 is: 2,537.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.64 : 7,802.14 = 1,691.84 : x
  2. Step 2: Convert to fraction form
    5,201.64/7,802.14 = 1,691.84/x
  3. Step 3: Cross multiply
    5,201.64x = 7,802.14 × 1,691.84
  4. Step 4: Simplify right side
    5,201.64x = 13,199,972.54
  5. Step 5: Solve for x
    x = 13,199,972.54/5,201.64
  6. Step 6: Final answer
    x = 2,537.66

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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.