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Finding the Fourth Proportional to 3,429.78, 5,145.90 and 1,455.90

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Solution

The fourth proportional to 3,429.78, 5,145.90 and 1,455.90 is: 2,184.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.78 : 5,145.90 = 1,455.90 : x
  2. Step 2: Convert to fraction form
    3,429.78/5,145.90 = 1,455.90/x
  3. Step 3: Cross multiply
    3,429.78x = 5,145.90 × 1,455.90
  4. Step 4: Simplify right side
    3,429.78x = 7,491,915.81
  5. Step 5: Solve for x
    x = 7,491,915.81/3,429.78
  6. Step 6: Final answer
    x = 2,184.37

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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.