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Finding the Fourth Proportional to 8,575.76, 12,867.69 and 3,897.20

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Solution

The fourth proportional to 8,575.76, 12,867.69 and 3,897.20 is: 5,847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575.76 : 12,867.69 = 3,897.20 : x
  2. Step 2: Convert to fraction form
    8,575.76/12,867.69 = 3,897.20/x
  3. Step 3: Cross multiply
    8,575.76x = 12,867.69 × 3,897.20
  4. Step 4: Simplify right side
    8,575.76x = 50,147,897.13
  5. Step 5: Solve for x
    x = 50,147,897.13/8,575.76
  6. Step 6: Final answer
    x = 5,847.64

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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.