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Finding the Fourth Proportional to 5,474.81, 8,212.10 and 1,777.03

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Solution

The fourth proportional to 5,474.81, 8,212.10 and 1,777.03 is: 2,665.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.81 : 8,212.10 = 1,777.03 : x
  2. Step 2: Convert to fraction form
    5,474.81/8,212.10 = 1,777.03/x
  3. Step 3: Cross multiply
    5,474.81x = 8,212.10 × 1,777.03
  4. Step 4: Simplify right side
    5,474.81x = 14,593,141.74
  5. Step 5: Solve for x
    x = 14,593,141.74/5,474.81
  6. Step 6: Final answer
    x = 2,665.51

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Double scale
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1.5x scale

Why These Related Problems?

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