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Finding the Fourth Proportional to 2,649.62, 3,969.14 and 1,264.30

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Solution

The fourth proportional to 2,649.62, 3,969.14 and 1,264.30 is: 1,893.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.62 : 3,969.14 = 1,264.30 : x
  2. Step 2: Convert to fraction form
    2,649.62/3,969.14 = 1,264.30/x
  3. Step 3: Cross multiply
    2,649.62x = 3,969.14 × 1,264.30
  4. Step 4: Simplify right side
    2,649.62x = 5,018,183.70
  5. Step 5: Solve for x
    x = 5,018,183.70/2,649.62
  6. Step 6: Final answer
    x = 1,893.93

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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.