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Finding the Fourth Proportional to 1,998.77, 2,760.46 and 1,521.58

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Solution

The fourth proportional to 1,998.77, 2,760.46 and 1,521.58 is: 2,101.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.77 : 2,760.46 = 1,521.58 : x
  2. Step 2: Convert to fraction form
    1,998.77/2,760.46 = 1,521.58/x
  3. Step 3: Cross multiply
    1,998.77x = 2,760.46 × 1,521.58
  4. Step 4: Simplify right side
    1,998.77x = 4,200,250.02
  5. Step 5: Solve for x
    x = 4,200,250.02/1,998.77
  6. Step 6: Final answer
    x = 2,101.41

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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.