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Finding the Fourth Proportional to 2,277.72, 3,416.93 and 817.22

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Solution

The fourth proportional to 2,277.72, 3,416.93 and 817.22 is: 1,225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.72 : 3,416.93 = 817.22 : x
  2. Step 2: Convert to fraction form
    2,277.72/3,416.93 = 817.22/x
  3. Step 3: Cross multiply
    2,277.72x = 3,416.93 × 817.22
  4. Step 4: Simplify right side
    2,277.72x = 2,792,362.36
  5. Step 5: Solve for x
    x = 2,792,362.36/2,277.72
  6. Step 6: Final answer
    x = 1,225.95

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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.