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Finding the Fourth Proportional to 6,238.78, 8,609.15 and 3,405.59

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Solution

The fourth proportional to 6,238.78, 8,609.15 and 3,405.59 is: 4,699.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.78 : 8,609.15 = 3,405.59 : x
  2. Step 2: Convert to fraction form
    6,238.78/8,609.15 = 3,405.59/x
  3. Step 3: Cross multiply
    6,238.78x = 8,609.15 × 3,405.59
  4. Step 4: Simplify right side
    6,238.78x = 29,319,213.74
  5. Step 5: Solve for x
    x = 29,319,213.74/6,238.78
  6. Step 6: Final answer
    x = 4,699.51

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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.