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Finding the Fourth Proportional to 8,564.59, 12,846.63 and 3,881.21

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Solution

The fourth proportional to 8,564.59, 12,846.63 and 3,881.21 is: 5,821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.59 : 12,846.63 = 3,881.21 : x
  2. Step 2: Convert to fraction form
    8,564.59/12,846.63 = 3,881.21/x
  3. Step 3: Cross multiply
    8,564.59x = 12,846.63 × 3,881.21
  4. Step 4: Simplify right side
    8,564.59x = 49,860,468.82
  5. Step 5: Solve for x
    x = 49,860,468.82/8,564.59
  6. Step 6: Final answer
    x = 5,821.70

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