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Finding the Fourth Proportional to 8,564.13, 11,815.88 and 5,578.88

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Solution

The fourth proportional to 8,564.13, 11,815.88 and 5,578.88 is: 7,697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.13 : 11,815.88 = 5,578.88 : x
  2. Step 2: Convert to fraction form
    8,564.13/11,815.88 = 5,578.88/x
  3. Step 3: Cross multiply
    8,564.13x = 11,815.88 × 5,578.88
  4. Step 4: Simplify right side
    8,564.13x = 65,919,289.64
  5. Step 5: Solve for x
    x = 65,919,289.64/8,564.13
  6. Step 6: Final answer
    x = 7,697.14

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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.