Home / 3,105.48-4,658.34-914.16

Finding the Fourth Proportional to 3,105.48, 4,658.34 and 914.16

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Solution

The fourth proportional to 3,105.48, 4,658.34 and 914.16 is: 1,371.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.48 : 4,658.34 = 914.16 : x
  2. Step 2: Convert to fraction form
    3,105.48/4,658.34 = 914.16/x
  3. Step 3: Cross multiply
    3,105.48x = 4,658.34 × 914.16
  4. Step 4: Simplify right side
    3,105.48x = 4,258,468.09
  5. Step 5: Solve for x
    x = 4,258,468.09/3,105.48
  6. Step 6: Final answer
    x = 1,371.28

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1.5x scale

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.