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Finding the Fourth Proportional to 2,415.50, 3,333.39 and 1,311.50

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Solution

The fourth proportional to 2,415.50, 3,333.39 and 1,311.50 is: 1,809.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.50 : 3,333.39 = 1,311.50 : x
  2. Step 2: Convert to fraction form
    2,415.50/3,333.39 = 1,311.50/x
  3. Step 3: Cross multiply
    2,415.50x = 3,333.39 × 1,311.50
  4. Step 4: Simplify right side
    2,415.50x = 4,371,740.99
  5. Step 5: Solve for x
    x = 4,371,740.99/2,415.50
  6. Step 6: Final answer
    x = 1,809.87

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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.