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Finding the Fourth Proportional to 1,994.40, 2,988.90 and 1,161.90

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Solution

The fourth proportional to 1,994.40, 2,988.90 and 1,161.90 is: 1,741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.40 : 2,988.90 = 1,161.90 : x
  2. Step 2: Convert to fraction form
    1,994.40/2,988.90 = 1,161.90/x
  3. Step 3: Cross multiply
    1,994.40x = 2,988.90 × 1,161.90
  4. Step 4: Simplify right side
    1,994.40x = 3,472,802.91
  5. Step 5: Solve for x
    x = 3,472,802.91/1,994.40
  6. Step 6: Final answer
    x = 1,741.28

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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.