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Finding the Fourth Proportional to 3,977.76, 5,964.12 and 1,894.98

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Solution

The fourth proportional to 3,977.76, 5,964.12 and 1,894.98 is: 2,841.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.76 : 5,964.12 = 1,894.98 : x
  2. Step 2: Convert to fraction form
    3,977.76/5,964.12 = 1,894.98/x
  3. Step 3: Cross multiply
    3,977.76x = 5,964.12 × 1,894.98
  4. Step 4: Simplify right side
    3,977.76x = 11,301,888.12
  5. Step 5: Solve for x
    x = 11,301,888.12/3,977.76
  6. Step 6: Final answer
    x = 2,841.27

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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.