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Finding the Fourth Proportional to 2,772, 3,825.36 and 1,530

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Solution

The fourth proportional to 2,772, 3,825.36 and 1,530 is: 2,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772 : 3,825.36 = 1,530 : x
  2. Step 2: Convert to fraction form
    2,772/3,825.36 = 1,530/x
  3. Step 3: Cross multiply
    2,772x = 3,825.36 × 1,530
  4. Step 4: Simplify right side
    2,772x = 5,852,800.80
  5. Step 5: Solve for x
    x = 5,852,800.80/2,772
  6. Step 6: Final answer
    x = 2,111.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.