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Finding the Fourth Proportional to 3,878.66, 5,817.94 and 956.98

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Solution

The fourth proportional to 3,878.66, 5,817.94 and 956.98 is: 1,435.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.66 : 5,817.94 = 956.98 : x
  2. Step 2: Convert to fraction form
    3,878.66/5,817.94 = 956.98/x
  3. Step 3: Cross multiply
    3,878.66x = 5,817.94 × 956.98
  4. Step 4: Simplify right side
    3,878.66x = 5,567,652.22
  5. Step 5: Solve for x
    x = 5,567,652.22/3,878.66
  6. Step 6: Final answer
    x = 1,435.46

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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.