Home / 3,107.56-4,661.19-916.39

Finding the Fourth Proportional to 3,107.56, 4,661.19 and 916.39

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Solution

The fourth proportional to 3,107.56, 4,661.19 and 916.39 is: 1,374.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.56 : 4,661.19 = 916.39 : x
  2. Step 2: Convert to fraction form
    3,107.56/4,661.19 = 916.39/x
  3. Step 3: Cross multiply
    3,107.56x = 4,661.19 × 916.39
  4. Step 4: Simplify right side
    3,107.56x = 4,271,467.90
  5. Step 5: Solve for x
    x = 4,271,467.90/3,107.56
  6. Step 6: Final answer
    x = 1,374.54

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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.