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Finding the Fourth Proportional to 6,997.38, 10,499.10 and 3,490.89

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Solution

The fourth proportional to 6,997.38, 10,499.10 and 3,490.89 is: 5,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.38 : 10,499.10 = 3,490.89 : x
  2. Step 2: Convert to fraction form
    6,997.38/10,499.10 = 3,490.89/x
  3. Step 3: Cross multiply
    6,997.38x = 10,499.10 × 3,490.89
  4. Step 4: Simplify right side
    6,997.38x = 36,651,203.20
  5. Step 5: Solve for x
    x = 36,651,203.20/6,997.38
  6. Step 6: Final answer
    x = 5,237.85

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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.