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Finding the Fourth Proportional to 4,774.13, 7,142.05 and 3,954

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Solution

The fourth proportional to 4,774.13, 7,142.05 and 3,954 is: 5,915.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.13 : 7,142.05 = 3,954 : x
  2. Step 2: Convert to fraction form
    4,774.13/7,142.05 = 3,954/x
  3. Step 3: Cross multiply
    4,774.13x = 7,142.05 × 3,954
  4. Step 4: Simplify right side
    4,774.13x = 28,239,665.70
  5. Step 5: Solve for x
    x = 28,239,665.70/4,774.13
  6. Step 6: Final answer
    x = 5,915.14

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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.