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Finding the Fourth Proportional to 6,401.67, 9,596.64 and 5,420.79

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Solution

The fourth proportional to 6,401.67, 9,596.64 and 5,420.79 is: 8,126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.67 : 9,596.64 = 5,420.79 : x
  2. Step 2: Convert to fraction form
    6,401.67/9,596.64 = 5,420.79/x
  3. Step 3: Cross multiply
    6,401.67x = 9,596.64 × 5,420.79
  4. Step 4: Simplify right side
    6,401.67x = 52,021,370.15
  5. Step 5: Solve for x
    x = 52,021,370.15/6,401.67
  6. Step 6: Final answer
    x = 8,126.22

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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.