Home / 3,106.02-4,659.82-914.75

Finding the Fourth Proportional to 3,106.02, 4,659.82 and 914.75

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Solution

The fourth proportional to 3,106.02, 4,659.82 and 914.75 is: 1,372.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.02 : 4,659.82 = 914.75 : x
  2. Step 2: Convert to fraction form
    3,106.02/4,659.82 = 914.75/x
  3. Step 3: Cross multiply
    3,106.02x = 4,659.82 × 914.75
  4. Step 4: Simplify right side
    3,106.02x = 4,262,570.35
  5. Step 5: Solve for x
    x = 4,262,570.35/3,106.02
  6. Step 6: Final answer
    x = 1,372.36

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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.