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Finding the Fourth Proportional to 4,851, 6,695.46 and 3,082.26

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Solution

The fourth proportional to 4,851, 6,695.46 and 3,082.26 is: 4,254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851 : 6,695.46 = 3,082.26 : x
  2. Step 2: Convert to fraction form
    4,851/6,695.46 = 3,082.26/x
  3. Step 3: Cross multiply
    4,851x = 6,695.46 × 3,082.26
  4. Step 4: Simplify right side
    4,851x = 20,637,148.54
  5. Step 5: Solve for x
    x = 20,637,148.54/4,851
  6. Step 6: Final answer
    x = 4,254.21

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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.