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Finding the Fourth Proportional to 8,606.53, 12,911 and 2,764.93

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Solution

The fourth proportional to 8,606.53, 12,911 and 2,764.93 is: 4,147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,606.53 : 12,911 = 2,764.93 : x
  2. Step 2: Convert to fraction form
    8,606.53/12,911 = 2,764.93/x
  3. Step 3: Cross multiply
    8,606.53x = 12,911 × 2,764.93
  4. Step 4: Simplify right side
    8,606.53x = 35,698,011.23
  5. Step 5: Solve for x
    x = 35,698,011.23/8,606.53
  6. Step 6: Final answer
    x = 4,147.78

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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.