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Finding the Fourth Proportional to 6,446.67, 9,670.01 and 1,766.70

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Solution

The fourth proportional to 6,446.67, 9,670.01 and 1,766.70 is: 2,650.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.67 : 9,670.01 = 1,766.70 : x
  2. Step 2: Convert to fraction form
    6,446.67/9,670.01 = 1,766.70/x
  3. Step 3: Cross multiply
    6,446.67x = 9,670.01 × 1,766.70
  4. Step 4: Simplify right side
    6,446.67x = 17,083,997.83
  5. Step 5: Solve for x
    x = 17,083,997.83/6,446.67
  6. Step 6: Final answer
    x = 2,650.05

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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.