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Finding the Fourth Proportional to 3,098.43, 4,649.30 and 1,455

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Solution

The fourth proportional to 3,098.43, 4,649.30 and 1,455 is: 2,183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.43 : 4,649.30 = 1,455 : x
  2. Step 2: Convert to fraction form
    3,098.43/4,649.30 = 1,455/x
  3. Step 3: Cross multiply
    3,098.43x = 4,649.30 × 1,455
  4. Step 4: Simplify right side
    3,098.43x = 6,764,731.50
  5. Step 5: Solve for x
    x = 6,764,731.50/3,098.43
  6. Step 6: Final answer
    x = 2,183.28

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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.