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Finding the Fourth Proportional to 3,099.70, 4,650.26 and 1,345

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Solution

The fourth proportional to 3,099.70, 4,650.26 and 1,345 is: 2,017.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.70 : 4,650.26 = 1,345 : x
  2. Step 2: Convert to fraction form
    3,099.70/4,650.26 = 1,345/x
  3. Step 3: Cross multiply
    3,099.70x = 4,650.26 × 1,345
  4. Step 4: Simplify right side
    3,099.70x = 6,254,599.70
  5. Step 5: Solve for x
    x = 6,254,599.70/3,099.70
  6. Step 6: Final answer
    x = 2,017.81

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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.