Home / 4,734-7,099.80-1,446.24

Finding the Fourth Proportional to 4,734, 7,099.80 and 1,446.24

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Solution

The fourth proportional to 4,734, 7,099.80 and 1,446.24 is: 2,168.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734 : 7,099.80 = 1,446.24 : x
  2. Step 2: Convert to fraction form
    4,734/7,099.80 = 1,446.24/x
  3. Step 3: Cross multiply
    4,734x = 7,099.80 × 1,446.24
  4. Step 4: Simplify right side
    4,734x = 10,268,014.75
  5. Step 5: Solve for x
    x = 10,268,014.75/4,734
  6. Step 6: Final answer
    x = 2,168.99

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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.