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Finding the Fourth Proportional to 4,749.97, 7,124.74 and 3,190.63

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Solution

The fourth proportional to 4,749.97, 7,124.74 and 3,190.63 is: 4,785.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.97 : 7,124.74 = 3,190.63 : x
  2. Step 2: Convert to fraction form
    4,749.97/7,124.74 = 3,190.63/x
  3. Step 3: Cross multiply
    4,749.97x = 7,124.74 × 3,190.63
  4. Step 4: Simplify right side
    4,749.97x = 22,732,393.23
  5. Step 5: Solve for x
    x = 22,732,393.23/4,749.97
  6. Step 6: Final answer
    x = 4,785.80

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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.