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Finding the Fourth Proportional to 3,878.01, 5,817.24 and 956.34

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Solution

The fourth proportional to 3,878.01, 5,817.24 and 956.34 is: 1,434.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.01 : 5,817.24 = 956.34 : x
  2. Step 2: Convert to fraction form
    3,878.01/5,817.24 = 956.34/x
  3. Step 3: Cross multiply
    3,878.01x = 5,817.24 × 956.34
  4. Step 4: Simplify right side
    3,878.01x = 5,563,259.30
  5. Step 5: Solve for x
    x = 5,563,259.30/3,878.01
  6. Step 6: Final answer
    x = 1,434.57

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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.