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Finding the Fourth Proportional to 6,398.84, 8,831.09 and 3,748.48

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Solution

The fourth proportional to 6,398.84, 8,831.09 and 3,748.48 is: 5,173.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.84 : 8,831.09 = 3,748.48 : x
  2. Step 2: Convert to fraction form
    6,398.84/8,831.09 = 3,748.48/x
  3. Step 3: Cross multiply
    6,398.84x = 8,831.09 × 3,748.48
  4. Step 4: Simplify right side
    6,398.84x = 33,103,151.54
  5. Step 5: Solve for x
    x = 33,103,151.54/6,398.84
  6. Step 6: Final answer
    x = 5,173.30

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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.