Home / 1,989.77-2,982.12-1,742.34

Finding the Fourth Proportional to 1,989.77, 2,982.12 and 1,742.34

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Solution

The fourth proportional to 1,989.77, 2,982.12 and 1,742.34 is: 2,611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.77 : 2,982.12 = 1,742.34 : x
  2. Step 2: Convert to fraction form
    1,989.77/2,982.12 = 1,742.34/x
  3. Step 3: Cross multiply
    1,989.77x = 2,982.12 × 1,742.34
  4. Step 4: Simplify right side
    1,989.77x = 5,195,871.61
  5. Step 5: Solve for x
    x = 5,195,871.61/1,989.77
  6. Step 6: Final answer
    x = 2,611.30

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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.