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Finding the Fourth Proportional to 2,083.59, 3,124.77 and 987.66

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Solution

The fourth proportional to 2,083.59, 3,124.77 and 987.66 is: 1,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.59 : 3,124.77 = 987.66 : x
  2. Step 2: Convert to fraction form
    2,083.59/3,124.77 = 987.66/x
  3. Step 3: Cross multiply
    2,083.59x = 3,124.77 × 987.66
  4. Step 4: Simplify right side
    2,083.59x = 3,086,210.34
  5. Step 5: Solve for x
    x = 3,086,210.34/2,083.59
  6. Step 6: Final answer
    x = 1,481.20

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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.