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Finding the Fourth Proportional to 2,138.68, 2,949.72 and 1,352.44

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Solution

The fourth proportional to 2,138.68, 2,949.72 and 1,352.44 is: 1,865.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.68 : 2,949.72 = 1,352.44 : x
  2. Step 2: Convert to fraction form
    2,138.68/2,949.72 = 1,352.44/x
  3. Step 3: Cross multiply
    2,138.68x = 2,949.72 × 1,352.44
  4. Step 4: Simplify right side
    2,138.68x = 3,989,319.32
  5. Step 5: Solve for x
    x = 3,989,319.32/2,138.68
  6. Step 6: Final answer
    x = 1,865.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.