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Finding the Fourth Proportional to 2,450.37, 3,675.73 and 989.50

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Solution

The fourth proportional to 2,450.37, 3,675.73 and 989.50 is: 1,484.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.37 : 3,675.73 = 989.50 : x
  2. Step 2: Convert to fraction form
    2,450.37/3,675.73 = 989.50/x
  3. Step 3: Cross multiply
    2,450.37x = 3,675.73 × 989.50
  4. Step 4: Simplify right side
    2,450.37x = 3,637,134.84
  5. Step 5: Solve for x
    x = 3,637,134.84/2,450.37
  6. Step 6: Final answer
    x = 1,484.32

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1.5x scale

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.