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Finding the Fourth Proportional to 2,083.41, 3,125.12 and 987.66

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Solution

The fourth proportional to 2,083.41, 3,125.12 and 987.66 is: 1,481.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.41 : 3,125.12 = 987.66 : x
  2. Step 2: Convert to fraction form
    2,083.41/3,125.12 = 987.66/x
  3. Step 3: Cross multiply
    2,083.41x = 3,125.12 × 987.66
  4. Step 4: Simplify right side
    2,083.41x = 3,086,551.08
  5. Step 5: Solve for x
    x = 3,086,551.08/2,083.41
  6. Step 6: Final answer
    x = 1,481.49

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Double scale
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Similar ratio
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1.5x scale

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.