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Finding the Fourth Proportional to 2,376.49, 3,279.50 and 1,314.32

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Solution

The fourth proportional to 2,376.49, 3,279.50 and 1,314.32 is: 1,813.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.49 : 3,279.50 = 1,314.32 : x
  2. Step 2: Convert to fraction form
    2,376.49/3,279.50 = 1,314.32/x
  3. Step 3: Cross multiply
    2,376.49x = 3,279.50 × 1,314.32
  4. Step 4: Simplify right side
    2,376.49x = 4,310,292.55
  5. Step 5: Solve for x
    x = 4,310,292.55/2,376.49
  6. Step 6: Final answer
    x = 1,813.72

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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.