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Finding the Fourth Proportional to 6,398.52, 8,831.41 and 4,156.49

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Solution

The fourth proportional to 6,398.52, 8,831.41 and 4,156.49 is: 5,736.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.52 : 8,831.41 = 4,156.49 : x
  2. Step 2: Convert to fraction form
    6,398.52/8,831.41 = 4,156.49/x
  3. Step 3: Cross multiply
    6,398.52x = 8,831.41 × 4,156.49
  4. Step 4: Simplify right side
    6,398.52x = 36,707,667.35
  5. Step 5: Solve for x
    x = 36,707,667.35/6,398.52
  6. Step 6: Final answer
    x = 5,736.90

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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.