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Finding the Fourth Proportional to 3,869.84, 5,774.50 and 3,403.28

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Solution

The fourth proportional to 3,869.84, 5,774.50 and 3,403.28 is: 5,078.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.84 : 5,774.50 = 3,403.28 : x
  2. Step 2: Convert to fraction form
    3,869.84/5,774.50 = 3,403.28/x
  3. Step 3: Cross multiply
    3,869.84x = 5,774.50 × 3,403.28
  4. Step 4: Simplify right side
    3,869.84x = 19,652,240.36
  5. Step 5: Solve for x
    x = 19,652,240.36/3,869.84
  6. Step 6: Final answer
    x = 5,078.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.