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Finding the Fourth Proportional to 7,201.75, 10,802.63 and 1,729.75

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Solution

The fourth proportional to 7,201.75, 10,802.63 and 1,729.75 is: 2,594.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.75 : 10,802.63 = 1,729.75 : x
  2. Step 2: Convert to fraction form
    7,201.75/10,802.63 = 1,729.75/x
  3. Step 3: Cross multiply
    7,201.75x = 10,802.63 × 1,729.75
  4. Step 4: Simplify right side
    7,201.75x = 18,685,849.24
  5. Step 5: Solve for x
    x = 18,685,849.24/7,201.75
  6. Step 6: Final answer
    x = 2,594.63

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Similar ratio
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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.