Home / 2,129.10-3,193.99-742.06

Finding the Fourth Proportional to 2,129.10, 3,193.99 and 742.06

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Solution

The fourth proportional to 2,129.10, 3,193.99 and 742.06 is: 1,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.10 : 3,193.99 = 742.06 : x
  2. Step 2: Convert to fraction form
    2,129.10/3,193.99 = 742.06/x
  3. Step 3: Cross multiply
    2,129.10x = 3,193.99 × 742.06
  4. Step 4: Simplify right side
    2,129.10x = 2,370,132.22
  5. Step 5: Solve for x
    x = 2,370,132.22/2,129.10
  6. Step 6: Final answer
    x = 1,113.21

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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.