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Finding the Fourth Proportional to 2,518.34, 3,776.90 and 786.96

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Solution

The fourth proportional to 2,518.34, 3,776.90 and 786.96 is: 1,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.34 : 3,776.90 = 786.96 : x
  2. Step 2: Convert to fraction form
    2,518.34/3,776.90 = 786.96/x
  3. Step 3: Cross multiply
    2,518.34x = 3,776.90 × 786.96
  4. Step 4: Simplify right side
    2,518.34x = 2,972,265.29
  5. Step 5: Solve for x
    x = 2,972,265.29/2,518.34
  6. Step 6: Final answer
    x = 1,180.25

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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.