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Finding the Fourth Proportional to 3,586.97, 5,380.76 and 989.90

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Solution

The fourth proportional to 3,586.97, 5,380.76 and 989.90 is: 1,484.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.97 : 5,380.76 = 989.90 : x
  2. Step 2: Convert to fraction form
    3,586.97/5,380.76 = 989.90/x
  3. Step 3: Cross multiply
    3,586.97x = 5,380.76 × 989.90
  4. Step 4: Simplify right side
    3,586.97x = 5,326,409.37
  5. Step 5: Solve for x
    x = 5,326,409.37/3,586.97
  6. Step 6: Final answer
    x = 1,484.93

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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.