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Finding the Fourth Proportional to 5,101.61, 7,636.01 and 2,874.51

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Solution

The fourth proportional to 5,101.61, 7,636.01 and 2,874.51 is: 4,302.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.61 : 7,636.01 = 2,874.51 : x
  2. Step 2: Convert to fraction form
    5,101.61/7,636.01 = 2,874.51/x
  3. Step 3: Cross multiply
    5,101.61x = 7,636.01 × 2,874.51
  4. Step 4: Simplify right side
    5,101.61x = 21,949,772.73
  5. Step 5: Solve for x
    x = 21,949,772.73/5,101.61
  6. Step 6: Final answer
    x = 4,302.52

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