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Finding the Fourth Proportional to 2,874.49, 4,311.77 and 900.05

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Solution

The fourth proportional to 2,874.49, 4,311.77 and 900.05 is: 1,350.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.49 : 4,311.77 = 900.05 : x
  2. Step 2: Convert to fraction form
    2,874.49/4,311.77 = 900.05/x
  3. Step 3: Cross multiply
    2,874.49x = 4,311.77 × 900.05
  4. Step 4: Simplify right side
    2,874.49x = 3,880,782.53
  5. Step 5: Solve for x
    x = 3,880,782.53/2,874.49
  6. Step 6: Final answer
    x = 1,350.08

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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.