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Finding the Fourth Proportional to 3,160.77, 4,742.21 and 1,989.41

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Solution

The fourth proportional to 3,160.77, 4,742.21 and 1,989.41 is: 2,984.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.77 : 4,742.21 = 1,989.41 : x
  2. Step 2: Convert to fraction form
    3,160.77/4,742.21 = 1,989.41/x
  3. Step 3: Cross multiply
    3,160.77x = 4,742.21 × 1,989.41
  4. Step 4: Simplify right side
    3,160.77x = 9,434,181.26
  5. Step 5: Solve for x
    x = 9,434,181.26/3,160.77
  6. Step 6: Final answer
    x = 2,984.78

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1.5x scale

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.