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Finding the Fourth Proportional to 6,501, 9,757.98 and 3,423

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Solution

The fourth proportional to 6,501, 9,757.98 and 3,423 is: 5,137.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501 : 9,757.98 = 3,423 : x
  2. Step 2: Convert to fraction form
    6,501/9,757.98 = 3,423/x
  3. Step 3: Cross multiply
    6,501x = 9,757.98 × 3,423
  4. Step 4: Simplify right side
    6,501x = 33,401,565.54
  5. Step 5: Solve for x
    x = 33,401,565.54/6,501
  6. Step 6: Final answer
    x = 5,137.91

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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.