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Finding the Fourth Proportional to 3,073.54, 4,611.21 and 993.50

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Solution

The fourth proportional to 3,073.54, 4,611.21 and 993.50 is: 1,490.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.54 : 4,611.21 = 993.50 : x
  2. Step 2: Convert to fraction form
    3,073.54/4,611.21 = 993.50/x
  3. Step 3: Cross multiply
    3,073.54x = 4,611.21 × 993.50
  4. Step 4: Simplify right side
    3,073.54x = 4,581,237.14
  5. Step 5: Solve for x
    x = 4,581,237.14/3,073.54
  6. Step 6: Final answer
    x = 1,490.54

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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.