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Finding the Fourth Proportional to 1,998.51, 2,999.21 and 1,132.59

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Solution

The fourth proportional to 1,998.51, 2,999.21 and 1,132.59 is: 1,699.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.51 : 2,999.21 = 1,132.59 : x
  2. Step 2: Convert to fraction form
    1,998.51/2,999.21 = 1,132.59/x
  3. Step 3: Cross multiply
    1,998.51x = 2,999.21 × 1,132.59
  4. Step 4: Simplify right side
    1,998.51x = 3,396,869.59
  5. Step 5: Solve for x
    x = 3,396,869.59/1,998.51
  6. Step 6: Final answer
    x = 1,699.70

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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.