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Finding the Fourth Proportional to 3,477.42, 4,797.88 and 1,984.80

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Solution

The fourth proportional to 3,477.42, 4,797.88 and 1,984.80 is: 2,738.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.42 : 4,797.88 = 1,984.80 : x
  2. Step 2: Convert to fraction form
    3,477.42/4,797.88 = 1,984.80/x
  3. Step 3: Cross multiply
    3,477.42x = 4,797.88 × 1,984.80
  4. Step 4: Simplify right side
    3,477.42x = 9,522,798.31
  5. Step 5: Solve for x
    x = 9,522,798.31/3,477.42
  6. Step 6: Final answer
    x = 2,738.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.