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Finding the Fourth Proportional to 3,094.06, 4,641.87 and 902.80

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Solution

The fourth proportional to 3,094.06, 4,641.87 and 902.80 is: 1,354.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.06 : 4,641.87 = 902.80 : x
  2. Step 2: Convert to fraction form
    3,094.06/4,641.87 = 902.80/x
  3. Step 3: Cross multiply
    3,094.06x = 4,641.87 × 902.80
  4. Step 4: Simplify right side
    3,094.06x = 4,190,680.24
  5. Step 5: Solve for x
    x = 4,190,680.24/3,094.06
  6. Step 6: Final answer
    x = 1,354.43

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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.