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Finding the Fourth Proportional to 5,505.30, 8,266.05 and 3,869.10

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Solution

The fourth proportional to 5,505.30, 8,266.05 and 3,869.10 is: 5,809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505.30 : 8,266.05 = 3,869.10 : x
  2. Step 2: Convert to fraction form
    5,505.30/8,266.05 = 3,869.10/x
  3. Step 3: Cross multiply
    5,505.30x = 8,266.05 × 3,869.10
  4. Step 4: Simplify right side
    5,505.30x = 31,982,174.06
  5. Step 5: Solve for x
    x = 31,982,174.06/5,505.30
  6. Step 6: Final answer
    x = 5,809.34

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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.