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Finding the Fourth Proportional to 2,083.68, 3,124.32 and 988.05

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Solution

The fourth proportional to 2,083.68, 3,124.32 and 988.05 is: 1,481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.68 : 3,124.32 = 988.05 : x
  2. Step 2: Convert to fraction form
    2,083.68/3,124.32 = 988.05/x
  3. Step 3: Cross multiply
    2,083.68x = 3,124.32 × 988.05
  4. Step 4: Simplify right side
    2,083.68x = 3,086,984.38
  5. Step 5: Solve for x
    x = 3,086,984.38/2,083.68
  6. Step 6: Final answer
    x = 1,481.51

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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.