Home / 2,277.28-3,416.57-816.54

Finding the Fourth Proportional to 2,277.28, 3,416.57 and 816.54

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Solution

The fourth proportional to 2,277.28, 3,416.57 and 816.54 is: 1,225.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.28 : 3,416.57 = 816.54 : x
  2. Step 2: Convert to fraction form
    2,277.28/3,416.57 = 816.54/x
  3. Step 3: Cross multiply
    2,277.28x = 3,416.57 × 816.54
  4. Step 4: Simplify right side
    2,277.28x = 2,789,766.07
  5. Step 5: Solve for x
    x = 2,789,766.07/2,277.28
  6. Step 6: Final answer
    x = 1,225.04

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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.