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Finding the Fourth Proportional to 2,518.43, 3,781.08 and 1,736.50

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Solution

The fourth proportional to 2,518.43, 3,781.08 and 1,736.50 is: 2,607.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.43 : 3,781.08 = 1,736.50 : x
  2. Step 2: Convert to fraction form
    2,518.43/3,781.08 = 1,736.50/x
  3. Step 3: Cross multiply
    2,518.43x = 3,781.08 × 1,736.50
  4. Step 4: Simplify right side
    2,518.43x = 6,565,848.37
  5. Step 5: Solve for x
    x = 6,565,848.37/2,518.43
  6. Step 6: Final answer
    x = 2,607.12

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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.