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Finding the Fourth Proportional to 2,821.16, 4,231.58 and 769

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Solution

The fourth proportional to 2,821.16, 4,231.58 and 769 is: 1,153.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.16 : 4,231.58 = 769 : x
  2. Step 2: Convert to fraction form
    2,821.16/4,231.58 = 769/x
  3. Step 3: Cross multiply
    2,821.16x = 4,231.58 × 769
  4. Step 4: Simplify right side
    2,821.16x = 3,254,085.02
  5. Step 5: Solve for x
    x = 3,254,085.02/2,821.16
  6. Step 6: Final answer
    x = 1,153.46

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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.