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Finding the Fourth Proportional to 2,902.98, 4,354.08 and 823.16

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Solution

The fourth proportional to 2,902.98, 4,354.08 and 823.16 is: 1,234.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.98 : 4,354.08 = 823.16 : x
  2. Step 2: Convert to fraction form
    2,902.98/4,354.08 = 823.16/x
  3. Step 3: Cross multiply
    2,902.98x = 4,354.08 × 823.16
  4. Step 4: Simplify right side
    2,902.98x = 3,584,104.49
  5. Step 5: Solve for x
    x = 3,584,104.49/2,902.98
  6. Step 6: Final answer
    x = 1,234.63

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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.