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Finding the Fourth Proportional to 4,217.49, 5,821.02 and 2,801.30

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Solution

The fourth proportional to 4,217.49, 5,821.02 and 2,801.30 is: 3,866.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217.49 : 5,821.02 = 2,801.30 : x
  2. Step 2: Convert to fraction form
    4,217.49/5,821.02 = 2,801.30/x
  3. Step 3: Cross multiply
    4,217.49x = 5,821.02 × 2,801.30
  4. Step 4: Simplify right side
    4,217.49x = 16,306,394.22
  5. Step 5: Solve for x
    x = 16,306,394.22/4,217.49
  6. Step 6: Final answer
    x = 3,866.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.