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Finding the Fourth Proportional to 2,902.19, 4,353.05 and 822.11

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Solution

The fourth proportional to 2,902.19, 4,353.05 and 822.11 is: 1,233.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.19 : 4,353.05 = 822.11 : x
  2. Step 2: Convert to fraction form
    2,902.19/4,353.05 = 822.11/x
  3. Step 3: Cross multiply
    2,902.19x = 4,353.05 × 822.11
  4. Step 4: Simplify right side
    2,902.19x = 3,578,685.94
  5. Step 5: Solve for x
    x = 3,578,685.94/2,902.19
  6. Step 6: Final answer
    x = 1,233.10

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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.