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Finding the Fourth Proportional to 2,902.98, 4,353.95 and 850.50

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Solution

The fourth proportional to 2,902.98, 4,353.95 and 850.50 is: 1,275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.98 : 4,353.95 = 850.50 : x
  2. Step 2: Convert to fraction form
    2,902.98/4,353.95 = 850.50/x
  3. Step 3: Cross multiply
    2,902.98x = 4,353.95 × 850.50
  4. Step 4: Simplify right side
    2,902.98x = 3,703,034.48
  5. Step 5: Solve for x
    x = 3,703,034.48/2,902.98
  6. Step 6: Final answer
    x = 1,275.60

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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.