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Finding the Fourth Proportional to 2,989.50, 4,485.87 and 1,450.50

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Solution

The fourth proportional to 2,989.50, 4,485.87 and 1,450.50 is: 2,176.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.50 : 4,485.87 = 1,450.50 : x
  2. Step 2: Convert to fraction form
    2,989.50/4,485.87 = 1,450.50/x
  3. Step 3: Cross multiply
    2,989.50x = 4,485.87 × 1,450.50
  4. Step 4: Simplify right side
    2,989.50x = 6,506,754.44
  5. Step 5: Solve for x
    x = 6,506,754.44/2,989.50
  6. Step 6: Final answer
    x = 2,176.54

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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.