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Finding the Fourth Proportional to 5,005.70, 6,908.46 and 2,909.82

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Solution

The fourth proportional to 5,005.70, 6,908.46 and 2,909.82 is: 4,015.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.70 : 6,908.46 = 2,909.82 : x
  2. Step 2: Convert to fraction form
    5,005.70/6,908.46 = 2,909.82/x
  3. Step 3: Cross multiply
    5,005.70x = 6,908.46 × 2,909.82
  4. Step 4: Simplify right side
    5,005.70x = 20,102,375.08
  5. Step 5: Solve for x
    x = 20,102,375.08/5,005.70
  6. Step 6: Final answer
    x = 4,015.90

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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.