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Finding the Fourth Proportional to 6,137, 8,468.76 and 3,744.21

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Solution

The fourth proportional to 6,137, 8,468.76 and 3,744.21 is: 5,166.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137 : 8,468.76 = 3,744.21 : x
  2. Step 2: Convert to fraction form
    6,137/8,468.76 = 3,744.21/x
  3. Step 3: Cross multiply
    6,137x = 8,468.76 × 3,744.21
  4. Step 4: Simplify right side
    6,137x = 31,708,801.84
  5. Step 5: Solve for x
    x = 31,708,801.84/6,137
  6. Step 6: Final answer
    x = 5,166.82

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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.