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Finding the Fourth Proportional to 3,825.74, 5,738.58 and 1,980.47

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Solution

The fourth proportional to 3,825.74, 5,738.58 and 1,980.47 is: 2,970.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.74 : 5,738.58 = 1,980.47 : x
  2. Step 2: Convert to fraction form
    3,825.74/5,738.58 = 1,980.47/x
  3. Step 3: Cross multiply
    3,825.74x = 5,738.58 × 1,980.47
  4. Step 4: Simplify right side
    3,825.74x = 11,365,056.84
  5. Step 5: Solve for x
    x = 11,365,056.84/3,825.74
  6. Step 6: Final answer
    x = 2,970.69

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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.