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Finding the Fourth Proportional to 6,447.85, 9,670.22 and 4,104.34

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Solution

The fourth proportional to 6,447.85, 9,670.22 and 4,104.34 is: 6,155.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.85 : 9,670.22 = 4,104.34 : x
  2. Step 2: Convert to fraction form
    6,447.85/9,670.22 = 4,104.34/x
  3. Step 3: Cross multiply
    6,447.85x = 9,670.22 × 4,104.34
  4. Step 4: Simplify right side
    6,447.85x = 39,689,801.88
  5. Step 5: Solve for x
    x = 39,689,801.88/6,447.85
  6. Step 6: Final answer
    x = 6,155.51

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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.