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Finding the Fourth Proportional to 6,401.50, 8,834.02 and 3,748.38

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Solution

The fourth proportional to 6,401.50, 8,834.02 and 3,748.38 is: 5,172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.50 : 8,834.02 = 3,748.38 : x
  2. Step 2: Convert to fraction form
    6,401.50/8,834.02 = 3,748.38/x
  3. Step 3: Cross multiply
    6,401.50x = 8,834.02 × 3,748.38
  4. Step 4: Simplify right side
    6,401.50x = 33,113,263.89
  5. Step 5: Solve for x
    x = 33,113,263.89/6,401.50
  6. Step 6: Final answer
    x = 5,172.74

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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.