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Finding the Fourth Proportional to 2,998.53, 4,135.19 and 1,988.46

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Solution

The fourth proportional to 2,998.53, 4,135.19 and 1,988.46 is: 2,742.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.53 : 4,135.19 = 1,988.46 : x
  2. Step 2: Convert to fraction form
    2,998.53/4,135.19 = 1,988.46/x
  3. Step 3: Cross multiply
    2,998.53x = 4,135.19 × 1,988.46
  4. Step 4: Simplify right side
    2,998.53x = 8,222,649.97
  5. Step 5: Solve for x
    x = 8,222,649.97/2,998.53
  6. Step 6: Final answer
    x = 2,742.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.