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Finding the Fourth Proportional to 2,311.60, 3,190.00 and 1,263.66

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Solution

The fourth proportional to 2,311.60, 3,190.00 and 1,263.66 is: 1,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.60 : 3,190.00 = 1,263.66 : x
  2. Step 2: Convert to fraction form
    2,311.60/3,190.00 = 1,263.66/x
  3. Step 3: Cross multiply
    2,311.60x = 3,190.00 × 1,263.66
  4. Step 4: Simplify right side
    2,311.60x = 4,031,072.24
  5. Step 5: Solve for x
    x = 4,031,072.24/2,311.60
  6. Step 6: Final answer
    x = 1,743.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.