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Finding the Fourth Proportional to 4,747.50, 7,121.04 and 1,460.45

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Solution

The fourth proportional to 4,747.50, 7,121.04 and 1,460.45 is: 2,190.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.50 : 7,121.04 = 1,460.45 : x
  2. Step 2: Convert to fraction form
    4,747.50/7,121.04 = 1,460.45/x
  3. Step 3: Cross multiply
    4,747.50x = 7,121.04 × 1,460.45
  4. Step 4: Simplify right side
    4,747.50x = 10,399,922.87
  5. Step 5: Solve for x
    x = 10,399,922.87/4,747.50
  6. Step 6: Final answer
    x = 2,190.61

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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.