Home / 3,105.72-4,656-1,461.36

Finding the Fourth Proportional to 3,105.72, 4,656 and 1,461.36

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Solution

The fourth proportional to 3,105.72, 4,656 and 1,461.36 is: 2,190.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.72 : 4,656 = 1,461.36 : x
  2. Step 2: Convert to fraction form
    3,105.72/4,656 = 1,461.36/x
  3. Step 3: Cross multiply
    3,105.72x = 4,656 × 1,461.36
  4. Step 4: Simplify right side
    3,105.72x = 6,804,092.16
  5. Step 5: Solve for x
    x = 6,804,092.16/3,105.72
  6. Step 6: Final answer
    x = 2,190.83

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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.