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Finding the Fourth Proportional to 5,238.93, 7,226.94 and 3,977.90

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Solution

The fourth proportional to 5,238.93, 7,226.94 and 3,977.90 is: 5,487.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.93 : 7,226.94 = 3,977.90 : x
  2. Step 2: Convert to fraction form
    5,238.93/7,226.94 = 3,977.90/x
  3. Step 3: Cross multiply
    5,238.93x = 7,226.94 × 3,977.90
  4. Step 4: Simplify right side
    5,238.93x = 28,748,044.63
  5. Step 5: Solve for x
    x = 28,748,044.63/5,238.93
  6. Step 6: Final answer
    x = 5,487.39

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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.