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Finding the Fourth Proportional to 5,138.58, 7,707.24 and 2,214.48

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Solution

The fourth proportional to 5,138.58, 7,707.24 and 2,214.48 is: 3,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.58 : 7,707.24 = 2,214.48 : x
  2. Step 2: Convert to fraction form
    5,138.58/7,707.24 = 2,214.48/x
  3. Step 3: Cross multiply
    5,138.58x = 7,707.24 × 2,214.48
  4. Step 4: Simplify right side
    5,138.58x = 17,067,528.84
  5. Step 5: Solve for x
    x = 17,067,528.84/5,138.58
  6. Step 6: Final answer
    x = 3,321.45

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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.