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Finding the Fourth Proportional to 6,109, 8,429.64 and 4,339.96

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Solution

The fourth proportional to 6,109, 8,429.64 and 4,339.96 is: 5,988.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109 : 8,429.64 = 4,339.96 : x
  2. Step 2: Convert to fraction form
    6,109/8,429.64 = 4,339.96/x
  3. Step 3: Cross multiply
    6,109x = 8,429.64 × 4,339.96
  4. Step 4: Simplify right side
    6,109x = 36,584,300.41
  5. Step 5: Solve for x
    x = 36,584,300.41/6,109
  6. Step 6: Final answer
    x = 5,988.59

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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.