Home / 2,277.35-3,416.25-816.17

Finding the Fourth Proportional to 2,277.35, 3,416.25 and 816.17

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Solution

The fourth proportional to 2,277.35, 3,416.25 and 816.17 is: 1,224.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.35 : 3,416.25 = 816.17 : x
  2. Step 2: Convert to fraction form
    2,277.35/3,416.25 = 816.17/x
  3. Step 3: Cross multiply
    2,277.35x = 3,416.25 × 816.17
  4. Step 4: Simplify right side
    2,277.35x = 2,788,223.68
  5. Step 5: Solve for x
    x = 2,788,223.68/2,277.35
  6. Step 6: Final answer
    x = 1,224.33

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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.