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Finding the Fourth Proportional to 8,106.90, 11,174.40 and 5,868.90

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Solution

The fourth proportional to 8,106.90, 11,174.40 and 5,868.90 is: 8,089.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.90 : 11,174.40 = 5,868.90 : x
  2. Step 2: Convert to fraction form
    8,106.90/11,174.40 = 5,868.90/x
  3. Step 3: Cross multiply
    8,106.90x = 11,174.40 × 5,868.90
  4. Step 4: Simplify right side
    8,106.90x = 65,581,436.16
  5. Step 5: Solve for x
    x = 65,581,436.16/8,106.90
  6. Step 6: Final answer
    x = 8,089.58

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1.5x scale

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.