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Finding the Fourth Proportional to 8,463.76, 12,673.56 and 6,811.28

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Solution

The fourth proportional to 8,463.76, 12,673.56 and 6,811.28 is: 10,199.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.76 : 12,673.56 = 6,811.28 : x
  2. Step 2: Convert to fraction form
    8,463.76/12,673.56 = 6,811.28/x
  3. Step 3: Cross multiply
    8,463.76x = 12,673.56 × 6,811.28
  4. Step 4: Simplify right side
    8,463.76x = 86,323,165.76
  5. Step 5: Solve for x
    x = 86,323,165.76/8,463.76
  6. Step 6: Final answer
    x = 10,199.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.