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Finding the Fourth Proportional to 2,605.35, 3,906.12 and 1,781.04

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Solution

The fourth proportional to 2,605.35, 3,906.12 and 1,781.04 is: 2,670.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.35 : 3,906.12 = 1,781.04 : x
  2. Step 2: Convert to fraction form
    2,605.35/3,906.12 = 1,781.04/x
  3. Step 3: Cross multiply
    2,605.35x = 3,906.12 × 1,781.04
  4. Step 4: Simplify right side
    2,605.35x = 6,956,955.96
  5. Step 5: Solve for x
    x = 6,956,955.96/2,605.35
  6. Step 6: Final answer
    x = 2,670.26

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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.