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Finding the Fourth Proportional to 2,529.08, 3,793.62 and 989

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Solution

The fourth proportional to 2,529.08, 3,793.62 and 989 is: 1,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.08 : 3,793.62 = 989 : x
  2. Step 2: Convert to fraction form
    2,529.08/3,793.62 = 989/x
  3. Step 3: Cross multiply
    2,529.08x = 3,793.62 × 989
  4. Step 4: Simplify right side
    2,529.08x = 3,751,890.18
  5. Step 5: Solve for x
    x = 3,751,890.18/2,529.08
  6. Step 6: Final answer
    x = 1,483.50

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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.