Home / 4,743.80-7,114.90-1,456

Finding the Fourth Proportional to 4,743.80, 7,114.90 and 1,456

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Solution

The fourth proportional to 4,743.80, 7,114.90 and 1,456 is: 2,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.80 : 7,114.90 = 1,456 : x
  2. Step 2: Convert to fraction form
    4,743.80/7,114.90 = 1,456/x
  3. Step 3: Cross multiply
    4,743.80x = 7,114.90 × 1,456
  4. Step 4: Simplify right side
    4,743.80x = 10,359,294.40
  5. Step 5: Solve for x
    x = 10,359,294.40/4,743.80
  6. Step 6: Final answer
    x = 2,183.75

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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.