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Finding the Fourth Proportional to 6,137.61, 8,471.52 and 3,781.71

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Solution

The fourth proportional to 6,137.61, 8,471.52 and 3,781.71 is: 5,219.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.61 : 8,471.52 = 3,781.71 : x
  2. Step 2: Convert to fraction form
    6,137.61/8,471.52 = 3,781.71/x
  3. Step 3: Cross multiply
    6,137.61x = 8,471.52 × 3,781.71
  4. Step 4: Simplify right side
    6,137.61x = 32,036,831.90
  5. Step 5: Solve for x
    x = 32,036,831.90/6,137.61
  6. Step 6: Final answer
    x = 5,219.76

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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.