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Finding the Fourth Proportional to 2,820.16, 4,230.08 and 768

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Solution

The fourth proportional to 2,820.16, 4,230.08 and 768 is: 1,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.16 : 4,230.08 = 768 : x
  2. Step 2: Convert to fraction form
    2,820.16/4,230.08 = 768/x
  3. Step 3: Cross multiply
    2,820.16x = 4,230.08 × 768
  4. Step 4: Simplify right side
    2,820.16x = 3,248,701.44
  5. Step 5: Solve for x
    x = 3,248,701.44/2,820.16
  6. Step 6: Final answer
    x = 1,151.96

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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.