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Finding the Fourth Proportional to 1,991.08, 2,987.11 and 1,407.23

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Solution

The fourth proportional to 1,991.08, 2,987.11 and 1,407.23 is: 2,111.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.08 : 2,987.11 = 1,407.23 : x
  2. Step 2: Convert to fraction form
    1,991.08/2,987.11 = 1,407.23/x
  3. Step 3: Cross multiply
    1,991.08x = 2,987.11 × 1,407.23
  4. Step 4: Simplify right side
    1,991.08x = 4,203,550.81
  5. Step 5: Solve for x
    x = 4,203,550.81/1,991.08
  6. Step 6: Final answer
    x = 2,111.19

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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.