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Finding the Fourth Proportional to 3,986.84, 5,502.60 and 2,415.80

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Solution

The fourth proportional to 3,986.84, 5,502.60 and 2,415.80 is: 3,334.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.84 : 5,502.60 = 2,415.80 : x
  2. Step 2: Convert to fraction form
    3,986.84/5,502.60 = 2,415.80/x
  3. Step 3: Cross multiply
    3,986.84x = 5,502.60 × 2,415.80
  4. Step 4: Simplify right side
    3,986.84x = 13,293,181.08
  5. Step 5: Solve for x
    x = 13,293,181.08/3,986.84
  6. Step 6: Final answer
    x = 3,334.27

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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.