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Finding the Fourth Proportional to 4,967.02, 6,851.64 and 3,100.78

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Solution

The fourth proportional to 4,967.02, 6,851.64 and 3,100.78 is: 4,277.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.02 : 6,851.64 = 3,100.78 : x
  2. Step 2: Convert to fraction form
    4,967.02/6,851.64 = 3,100.78/x
  3. Step 3: Cross multiply
    4,967.02x = 6,851.64 × 3,100.78
  4. Step 4: Simplify right side
    4,967.02x = 21,245,431.03
  5. Step 5: Solve for x
    x = 21,245,431.03/4,967.02
  6. Step 6: Final answer
    x = 4,277.30

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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.