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Finding the Fourth Proportional to 4,749.63, 7,124.46 and 2,149.53

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Solution

The fourth proportional to 4,749.63, 7,124.46 and 2,149.53 is: 3,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.63 : 7,124.46 = 2,149.53 : x
  2. Step 2: Convert to fraction form
    4,749.63/7,124.46 = 2,149.53/x
  3. Step 3: Cross multiply
    4,749.63x = 7,124.46 × 2,149.53
  4. Step 4: Simplify right side
    4,749.63x = 15,314,240.50
  5. Step 5: Solve for x
    x = 15,314,240.50/4,749.63
  6. Step 6: Final answer
    x = 3,224.30

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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.