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Finding the Fourth Proportional to 3,383.76, 4,669.98 and 1,986.50

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Solution

The fourth proportional to 3,383.76, 4,669.98 and 1,986.50 is: 2,741.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.76 : 4,669.98 = 1,986.50 : x
  2. Step 2: Convert to fraction form
    3,383.76/4,669.98 = 1,986.50/x
  3. Step 3: Cross multiply
    3,383.76x = 4,669.98 × 1,986.50
  4. Step 4: Simplify right side
    3,383.76x = 9,276,915.27
  5. Step 5: Solve for x
    x = 9,276,915.27/3,383.76
  6. Step 6: Final answer
    x = 2,741.60

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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.