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Finding the Fourth Proportional to 3,450.47, 5,174.14 and 984.70

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Solution

The fourth proportional to 3,450.47, 5,174.14 and 984.70 is: 1,476.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.47 : 5,174.14 = 984.70 : x
  2. Step 2: Convert to fraction form
    3,450.47/5,174.14 = 984.70/x
  3. Step 3: Cross multiply
    3,450.47x = 5,174.14 × 984.70
  4. Step 4: Simplify right side
    3,450.47x = 5,094,960.26
  5. Step 5: Solve for x
    x = 5,094,960.26/3,450.47
  6. Step 6: Final answer
    x = 1,476.60

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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.