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Finding the Fourth Proportional to 8,615.92, 12,907.05 and 4,106.56

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Solution

The fourth proportional to 8,615.92, 12,907.05 and 4,106.56 is: 6,151.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,615.92 : 12,907.05 = 4,106.56 : x
  2. Step 2: Convert to fraction form
    8,615.92/12,907.05 = 4,106.56/x
  3. Step 3: Cross multiply
    8,615.92x = 12,907.05 × 4,106.56
  4. Step 4: Simplify right side
    8,615.92x = 53,003,575.25
  5. Step 5: Solve for x
    x = 53,003,575.25/8,615.92
  6. Step 6: Final answer
    x = 6,151.82

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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.