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Finding the Fourth Proportional to 1,998.86, 2,758.48 and 1,159.62

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Solution

The fourth proportional to 1,998.86, 2,758.48 and 1,159.62 is: 1,600.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.86 : 2,758.48 = 1,159.62 : x
  2. Step 2: Convert to fraction form
    1,998.86/2,758.48 = 1,159.62/x
  3. Step 3: Cross multiply
    1,998.86x = 2,758.48 × 1,159.62
  4. Step 4: Simplify right side
    1,998.86x = 3,198,788.58
  5. Step 5: Solve for x
    x = 3,198,788.58/1,998.86
  6. Step 6: Final answer
    x = 1,600.31

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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.