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Finding the Fourth Proportional to 3,099.53, 4,647.07 and 1,455.17

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Solution

The fourth proportional to 3,099.53, 4,647.07 and 1,455.17 is: 2,181.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.53 : 4,647.07 = 1,455.17 : x
  2. Step 2: Convert to fraction form
    3,099.53/4,647.07 = 1,455.17/x
  3. Step 3: Cross multiply
    3,099.53x = 4,647.07 × 1,455.17
  4. Step 4: Simplify right side
    3,099.53x = 6,762,255.44
  5. Step 5: Solve for x
    x = 6,762,255.44/3,099.53
  6. Step 6: Final answer
    x = 2,181.70

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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.