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Finding the Fourth Proportional to 4,912.80, 7,319.50 and 4,664.94

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Solution

The fourth proportional to 4,912.80, 7,319.50 and 4,664.94 is: 6,950.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.80 : 7,319.50 = 4,664.94 : x
  2. Step 2: Convert to fraction form
    4,912.80/7,319.50 = 4,664.94/x
  3. Step 3: Cross multiply
    4,912.80x = 7,319.50 × 4,664.94
  4. Step 4: Simplify right side
    4,912.80x = 34,145,028.33
  5. Step 5: Solve for x
    x = 34,145,028.33/4,912.80
  6. Step 6: Final answer
    x = 6,950.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.