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Finding the Fourth Proportional to 6,291, 9,429.84 and 2,127

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Solution

The fourth proportional to 6,291, 9,429.84 and 2,127 is: 3,188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291 : 9,429.84 = 2,127 : x
  2. Step 2: Convert to fraction form
    6,291/9,429.84 = 2,127/x
  3. Step 3: Cross multiply
    6,291x = 9,429.84 × 2,127
  4. Step 4: Simplify right side
    6,291x = 20,057,269.68
  5. Step 5: Solve for x
    x = 20,057,269.68/6,291
  6. Step 6: Final answer
    x = 3,188.25

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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.