Home / 2,277.15-3,416.81-816.45

Finding the Fourth Proportional to 2,277.15, 3,416.81 and 816.45

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Solution

The fourth proportional to 2,277.15, 3,416.81 and 816.45 is: 1,225.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.15 : 3,416.81 = 816.45 : x
  2. Step 2: Convert to fraction form
    2,277.15/3,416.81 = 816.45/x
  3. Step 3: Cross multiply
    2,277.15x = 3,416.81 × 816.45
  4. Step 4: Simplify right side
    2,277.15x = 2,789,650.44
  5. Step 5: Solve for x
    x = 2,789,650.44/2,277.15
  6. Step 6: Final answer
    x = 1,225.06

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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.