Home / 3,106.04-4,659.10-914.60

Finding the Fourth Proportional to 3,106.04, 4,659.10 and 914.60

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Solution

The fourth proportional to 3,106.04, 4,659.10 and 914.60 is: 1,371.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.04 : 4,659.10 = 914.60 : x
  2. Step 2: Convert to fraction form
    3,106.04/4,659.10 = 914.60/x
  3. Step 3: Cross multiply
    3,106.04x = 4,659.10 × 914.60
  4. Step 4: Simplify right side
    3,106.04x = 4,261,212.86
  5. Step 5: Solve for x
    x = 4,261,212.86/3,106.04
  6. Step 6: Final answer
    x = 1,371.91

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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.