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Finding the Fourth Proportional to 6,649.25, 9,970.36 and 2,949.86

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Solution

The fourth proportional to 6,649.25, 9,970.36 and 2,949.86 is: 4,423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.25 : 9,970.36 = 2,949.86 : x
  2. Step 2: Convert to fraction form
    6,649.25/9,970.36 = 2,949.86/x
  3. Step 3: Cross multiply
    6,649.25x = 9,970.36 × 2,949.86
  4. Step 4: Simplify right side
    6,649.25x = 29,411,183.70
  5. Step 5: Solve for x
    x = 29,411,183.70/6,649.25
  6. Step 6: Final answer
    x = 4,423.24

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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.