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Finding the Fourth Proportional to 2,823.02, 4,234.26 and 771.02

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Solution

The fourth proportional to 2,823.02, 4,234.26 and 771.02 is: 1,156.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.02 : 4,234.26 = 771.02 : x
  2. Step 2: Convert to fraction form
    2,823.02/4,234.26 = 771.02/x
  3. Step 3: Cross multiply
    2,823.02x = 4,234.26 × 771.02
  4. Step 4: Simplify right side
    2,823.02x = 3,264,699.15
  5. Step 5: Solve for x
    x = 3,264,699.15/2,823.02
  6. Step 6: Final answer
    x = 1,156.46

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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.