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Finding the Fourth Proportional to 6,813, 9,402.48 and 4,019.04

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Solution

The fourth proportional to 6,813, 9,402.48 and 4,019.04 is: 5,546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813 : 9,402.48 = 4,019.04 : x
  2. Step 2: Convert to fraction form
    6,813/9,402.48 = 4,019.04/x
  3. Step 3: Cross multiply
    6,813x = 9,402.48 × 4,019.04
  4. Step 4: Simplify right side
    6,813x = 37,788,943.22
  5. Step 5: Solve for x
    x = 37,788,943.22/6,813
  6. Step 6: Final answer
    x = 5,546.59

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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.