Home / 2,102.23-3,153.35-734.23

Finding the Fourth Proportional to 2,102.23, 3,153.35 and 734.23

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Solution

The fourth proportional to 2,102.23, 3,153.35 and 734.23 is: 1,101.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.23 : 3,153.35 = 734.23 : x
  2. Step 2: Convert to fraction form
    2,102.23/3,153.35 = 734.23/x
  3. Step 3: Cross multiply
    2,102.23x = 3,153.35 × 734.23
  4. Step 4: Simplify right side
    2,102.23x = 2,315,284.17
  5. Step 5: Solve for x
    x = 2,315,284.17/2,102.23
  6. Step 6: Final answer
    x = 1,101.35

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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.