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Finding the Fourth Proportional to 5,208.78, 7,806.36 and 4,549.02

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Solution

The fourth proportional to 5,208.78, 7,806.36 and 4,549.02 is: 6,817.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.78 : 7,806.36 = 4,549.02 : x
  2. Step 2: Convert to fraction form
    5,208.78/7,806.36 = 4,549.02/x
  3. Step 3: Cross multiply
    5,208.78x = 7,806.36 × 4,549.02
  4. Step 4: Simplify right side
    5,208.78x = 35,511,287.77
  5. Step 5: Solve for x
    x = 35,511,287.77/5,208.78
  6. Step 6: Final answer
    x = 6,817.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.