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Finding the Fourth Proportional to 1,847.32, 2,771.40 and 548.68

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Solution

The fourth proportional to 1,847.32, 2,771.40 and 548.68 is: 823.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.32 : 2,771.40 = 548.68 : x
  2. Step 2: Convert to fraction form
    1,847.32/2,771.40 = 548.68/x
  3. Step 3: Cross multiply
    1,847.32x = 2,771.40 × 548.68
  4. Step 4: Simplify right side
    1,847.32x = 1,520,611.75
  5. Step 5: Solve for x
    x = 1,520,611.75/1,847.32
  6. Step 6: Final answer
    x = 823.14

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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.