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Finding the Fourth Proportional to 6,684.34, 9,235.89 and 6,447.82

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Solution

The fourth proportional to 6,684.34, 9,235.89 and 6,447.82 is: 8,909.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.34 : 9,235.89 = 6,447.82 : x
  2. Step 2: Convert to fraction form
    6,684.34/9,235.89 = 6,447.82/x
  3. Step 3: Cross multiply
    6,684.34x = 9,235.89 × 6,447.82
  4. Step 4: Simplify right side
    6,684.34x = 59,551,356.26
  5. Step 5: Solve for x
    x = 59,551,356.26/6,684.34
  6. Step 6: Final answer
    x = 8,909.09

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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.