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Finding the Fourth Proportional to 4,912.53, 6,778.53 and 2,816.25

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Solution

The fourth proportional to 4,912.53, 6,778.53 and 2,816.25 is: 3,885.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.53 : 6,778.53 = 2,816.25 : x
  2. Step 2: Convert to fraction form
    4,912.53/6,778.53 = 2,816.25/x
  3. Step 3: Cross multiply
    4,912.53x = 6,778.53 × 2,816.25
  4. Step 4: Simplify right side
    4,912.53x = 19,090,035.11
  5. Step 5: Solve for x
    x = 19,090,035.11/4,912.53
  6. Step 6: Final answer
    x = 3,885.99

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1.5x scale

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.