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Finding the Fourth Proportional to 1,993.47, 2,990.10 and 744.32

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Solution

The fourth proportional to 1,993.47, 2,990.10 and 744.32 is: 1,116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.47 : 2,990.10 = 744.32 : x
  2. Step 2: Convert to fraction form
    1,993.47/2,990.10 = 744.32/x
  3. Step 3: Cross multiply
    1,993.47x = 2,990.10 × 744.32
  4. Step 4: Simplify right side
    1,993.47x = 2,225,576.28
  5. Step 5: Solve for x
    x = 2,225,576.28/1,993.47
  6. Step 6: Final answer
    x = 1,116.43

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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.