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Finding the Fourth Proportional to 7,868.07, 11,801.70 and 2,606.72

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Solution

The fourth proportional to 7,868.07, 11,801.70 and 2,606.72 is: 3,909.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.07 : 11,801.70 = 2,606.72 : x
  2. Step 2: Convert to fraction form
    7,868.07/11,801.70 = 2,606.72/x
  3. Step 3: Cross multiply
    7,868.07x = 11,801.70 × 2,606.72
  4. Step 4: Simplify right side
    7,868.07x = 30,763,668.42
  5. Step 5: Solve for x
    x = 30,763,668.42/7,868.07
  6. Step 6: Final answer
    x = 3,909.94

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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.