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Finding the Fourth Proportional to 2,744.70, 4,116.02 and 989.22

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Solution

The fourth proportional to 2,744.70, 4,116.02 and 989.22 is: 1,483.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.70 : 4,116.02 = 989.22 : x
  2. Step 2: Convert to fraction form
    2,744.70/4,116.02 = 989.22/x
  3. Step 3: Cross multiply
    2,744.70x = 4,116.02 × 989.22
  4. Step 4: Simplify right side
    2,744.70x = 4,071,649.30
  5. Step 5: Solve for x
    x = 4,071,649.30/2,744.70
  6. Step 6: Final answer
    x = 1,483.46

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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.