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Finding the Fourth Proportional to 8,107.76, 11,186.13 and 6,400.86

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Solution

The fourth proportional to 8,107.76, 11,186.13 and 6,400.86 is: 8,831.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.76 : 11,186.13 = 6,400.86 : x
  2. Step 2: Convert to fraction form
    8,107.76/11,186.13 = 6,400.86/x
  3. Step 3: Cross multiply
    8,107.76x = 11,186.13 × 6,400.86
  4. Step 4: Simplify right side
    8,107.76x = 71,600,852.07
  5. Step 5: Solve for x
    x = 71,600,852.07/8,107.76
  6. Step 6: Final answer
    x = 8,831.15

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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.