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Finding the Fourth Proportional to 5,006, 6,909.90 and 3,143

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Solution

The fourth proportional to 5,006, 6,909.90 and 3,143 is: 4,338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006 : 6,909.90 = 3,143 : x
  2. Step 2: Convert to fraction form
    5,006/6,909.90 = 3,143/x
  3. Step 3: Cross multiply
    5,006x = 6,909.90 × 3,143
  4. Step 4: Simplify right side
    5,006x = 21,717,815.70
  5. Step 5: Solve for x
    x = 21,717,815.70/5,006
  6. Step 6: Final answer
    x = 4,338.36

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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.