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Finding the Fourth Proportional to 6,339.81, 9,511.96 and 2,829.49

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Solution

The fourth proportional to 6,339.81, 9,511.96 and 2,829.49 is: 4,245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.81 : 9,511.96 = 2,829.49 : x
  2. Step 2: Convert to fraction form
    6,339.81/9,511.96 = 2,829.49/x
  3. Step 3: Cross multiply
    6,339.81x = 9,511.96 × 2,829.49
  4. Step 4: Simplify right side
    6,339.81x = 26,913,995.70
  5. Step 5: Solve for x
    x = 26,913,995.70/6,339.81
  6. Step 6: Final answer
    x = 4,245.24

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1.5x scale

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.