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Finding the Fourth Proportional to 2,902.79, 4,353.84 and 822.98

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Solution

The fourth proportional to 2,902.79, 4,353.84 and 822.98 is: 1,234.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.79 : 4,353.84 = 822.98 : x
  2. Step 2: Convert to fraction form
    2,902.79/4,353.84 = 822.98/x
  3. Step 3: Cross multiply
    2,902.79x = 4,353.84 × 822.98
  4. Step 4: Simplify right side
    2,902.79x = 3,583,101.47
  5. Step 5: Solve for x
    x = 3,583,101.47/2,902.79
  6. Step 6: Final answer
    x = 1,234.37

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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.