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Finding the Fourth Proportional to 6,446.67, 8,893.74 and 4,207.74

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Solution

The fourth proportional to 6,446.67, 8,893.74 and 4,207.74 is: 5,804.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.67 : 8,893.74 = 4,207.74 : x
  2. Step 2: Convert to fraction form
    6,446.67/8,893.74 = 4,207.74/x
  3. Step 3: Cross multiply
    6,446.67x = 8,893.74 × 4,207.74
  4. Step 4: Simplify right side
    6,446.67x = 37,422,545.55
  5. Step 5: Solve for x
    x = 37,422,545.55/6,446.67
  6. Step 6: Final answer
    x = 5,804.94

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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.