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Finding the Fourth Proportional to 3,841.84, 5,762.80 and 1,244.80

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Solution

The fourth proportional to 3,841.84, 5,762.80 and 1,244.80 is: 1,867.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.84 : 5,762.80 = 1,244.80 : x
  2. Step 2: Convert to fraction form
    3,841.84/5,762.80 = 1,244.80/x
  3. Step 3: Cross multiply
    3,841.84x = 5,762.80 × 1,244.80
  4. Step 4: Simplify right side
    3,841.84x = 7,173,533.44
  5. Step 5: Solve for x
    x = 7,173,533.44/3,841.84
  6. Step 6: Final answer
    x = 1,867.21

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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.