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Finding the Fourth Proportional to 6,401, 8,833.38 and 3,457

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Solution

The fourth proportional to 6,401, 8,833.38 and 3,457 is: 4,770.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401 : 8,833.38 = 3,457 : x
  2. Step 2: Convert to fraction form
    6,401/8,833.38 = 3,457/x
  3. Step 3: Cross multiply
    6,401x = 8,833.38 × 3,457
  4. Step 4: Simplify right side
    6,401x = 30,536,994.66
  5. Step 5: Solve for x
    x = 30,536,994.66/6,401
  6. Step 6: Final answer
    x = 4,770.66

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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.