Home / 3,106.32-4,658.55-914.52

Finding the Fourth Proportional to 3,106.32, 4,658.55 and 914.52

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Solution

The fourth proportional to 3,106.32, 4,658.55 and 914.52 is: 1,371.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.32 : 4,658.55 = 914.52 : x
  2. Step 2: Convert to fraction form
    3,106.32/4,658.55 = 914.52/x
  3. Step 3: Cross multiply
    3,106.32x = 4,658.55 × 914.52
  4. Step 4: Simplify right side
    3,106.32x = 4,260,337.15
  5. Step 5: Solve for x
    x = 4,260,337.15/3,106.32
  6. Step 6: Final answer
    x = 1,371.51

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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.