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Finding the Fourth Proportional to 1,991.59, 2,998.96 and 1,475.25

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Solution

The fourth proportional to 1,991.59, 2,998.96 and 1,475.25 is: 2,221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.59 : 2,998.96 = 1,475.25 : x
  2. Step 2: Convert to fraction form
    1,991.59/2,998.96 = 1,475.25/x
  3. Step 3: Cross multiply
    1,991.59x = 2,998.96 × 1,475.25
  4. Step 4: Simplify right side
    1,991.59x = 4,424,200.81
  5. Step 5: Solve for x
    x = 4,424,200.81/1,991.59
  6. Step 6: Final answer
    x = 2,221.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.