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Finding the Fourth Proportional to 2,571.84, 3,858.24 and 841.68

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Solution

The fourth proportional to 2,571.84, 3,858.24 and 841.68 is: 1,262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.84 : 3,858.24 = 841.68 : x
  2. Step 2: Convert to fraction form
    2,571.84/3,858.24 = 841.68/x
  3. Step 3: Cross multiply
    2,571.84x = 3,858.24 × 841.68
  4. Step 4: Simplify right side
    2,571.84x = 3,247,403.44
  5. Step 5: Solve for x
    x = 3,247,403.44/2,571.84
  6. Step 6: Final answer
    x = 1,262.68

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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.