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Finding the Fourth Proportional to 2,820, 4,230 and 768

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Solution

The fourth proportional to 2,820, 4,230 and 768 is: 1,152

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820 : 4,230 = 768 : x
  2. Step 2: Convert to fraction form
    2,820/4,230 = 768/x
  3. Step 3: Cross multiply
    2,820x = 4,230 × 768
  4. Step 4: Simplify right side
    2,820x = 3,248,640
  5. Step 5: Solve for x
    x = 3,248,640/2,820
  6. Step 6: Final answer
    x = 1,152

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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.