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Finding the Fourth Proportional to 8,221.76, 11,343.25 and 4,682.46

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Solution

The fourth proportional to 8,221.76, 11,343.25 and 4,682.46 is: 6,460.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.76 : 11,343.25 = 4,682.46 : x
  2. Step 2: Convert to fraction form
    8,221.76/11,343.25 = 4,682.46/x
  3. Step 3: Cross multiply
    8,221.76x = 11,343.25 × 4,682.46
  4. Step 4: Simplify right side
    8,221.76x = 53,114,314.40
  5. Step 5: Solve for x
    x = 53,114,314.40/8,221.76
  6. Step 6: Final answer
    x = 6,460.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.