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Finding the Fourth Proportional to 2,461.42, 3,690.90 and 817.39

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Solution

The fourth proportional to 2,461.42, 3,690.90 and 817.39 is: 1,225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.42 : 3,690.90 = 817.39 : x
  2. Step 2: Convert to fraction form
    2,461.42/3,690.90 = 817.39/x
  3. Step 3: Cross multiply
    2,461.42x = 3,690.90 × 817.39
  4. Step 4: Simplify right side
    2,461.42x = 3,016,909.36
  5. Step 5: Solve for x
    x = 3,016,909.36/2,461.42
  6. Step 6: Final answer
    x = 1,225.68

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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.