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Finding the Fourth Proportional to 8,715.88, 11,998.56 and 7,831.36

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Solution

The fourth proportional to 8,715.88, 11,998.56 and 7,831.36 is: 10,780.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,715.88 : 11,998.56 = 7,831.36 : x
  2. Step 2: Convert to fraction form
    8,715.88/11,998.56 = 7,831.36/x
  3. Step 3: Cross multiply
    8,715.88x = 11,998.56 × 7,831.36
  4. Step 4: Simplify right side
    8,715.88x = 93,965,042.84
  5. Step 5: Solve for x
    x = 93,965,042.84/8,715.88
  6. Step 6: Final answer
    x = 10,780.90

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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.