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Finding the Fourth Proportional to 2,094.20, 3,141.30 and 555.20

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Solution

The fourth proportional to 2,094.20, 3,141.30 and 555.20 is: 832.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.20 : 3,141.30 = 555.20 : x
  2. Step 2: Convert to fraction form
    2,094.20/3,141.30 = 555.20/x
  3. Step 3: Cross multiply
    2,094.20x = 3,141.30 × 555.20
  4. Step 4: Simplify right side
    2,094.20x = 1,744,049.76
  5. Step 5: Solve for x
    x = 1,744,049.76/2,094.20
  6. Step 6: Final answer
    x = 832.80

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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.