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Finding the Fourth Proportional to 2,083.15, 3,124.12 and 987.22

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Solution

The fourth proportional to 2,083.15, 3,124.12 and 987.22 is: 1,480.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.15 : 3,124.12 = 987.22 : x
  2. Step 2: Convert to fraction form
    2,083.15/3,124.12 = 987.22/x
  3. Step 3: Cross multiply
    2,083.15x = 3,124.12 × 987.22
  4. Step 4: Simplify right side
    2,083.15x = 3,084,188.81
  5. Step 5: Solve for x
    x = 3,084,188.81/2,083.15
  6. Step 6: Final answer
    x = 1,480.54

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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.