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Finding the Fourth Proportional to 6,397.87, 8,831.27 and 3,746.13

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Solution

The fourth proportional to 6,397.87, 8,831.27 and 3,746.13 is: 5,170.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.87 : 8,831.27 = 3,746.13 : x
  2. Step 2: Convert to fraction form
    6,397.87/8,831.27 = 3,746.13/x
  3. Step 3: Cross multiply
    6,397.87x = 8,831.27 × 3,746.13
  4. Step 4: Simplify right side
    6,397.87x = 33,083,085.49
  5. Step 5: Solve for x
    x = 33,083,085.49/6,397.87
  6. Step 6: Final answer
    x = 5,170.95

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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.