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Finding the Fourth Proportional to 3,166.77, 4,747.60 and 1,319.28

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Solution

The fourth proportional to 3,166.77, 4,747.60 and 1,319.28 is: 1,977.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.77 : 4,747.60 = 1,319.28 : x
  2. Step 2: Convert to fraction form
    3,166.77/4,747.60 = 1,319.28/x
  3. Step 3: Cross multiply
    3,166.77x = 4,747.60 × 1,319.28
  4. Step 4: Simplify right side
    3,166.77x = 6,263,392.63
  5. Step 5: Solve for x
    x = 6,263,392.63/3,166.77
  6. Step 6: Final answer
    x = 1,977.85

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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.