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Finding the Fourth Proportional to 2,461.11, 3,690.95 and 817.22

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Solution

The fourth proportional to 2,461.11, 3,690.95 and 817.22 is: 1,225.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.11 : 3,690.95 = 817.22 : x
  2. Step 2: Convert to fraction form
    2,461.11/3,690.95 = 817.22/x
  3. Step 3: Cross multiply
    2,461.11x = 3,690.95 × 817.22
  4. Step 4: Simplify right side
    2,461.11x = 3,016,295.62
  5. Step 5: Solve for x
    x = 3,016,295.62/2,461.11
  6. Step 6: Final answer
    x = 1,225.58

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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.