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Finding the Fourth Proportional to 2,848, 4,272.64 and 1,024

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Solution

The fourth proportional to 2,848, 4,272.64 and 1,024 is: 1,536.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848 : 4,272.64 = 1,024 : x
  2. Step 2: Convert to fraction form
    2,848/4,272.64 = 1,024/x
  3. Step 3: Cross multiply
    2,848x = 4,272.64 × 1,024
  4. Step 4: Simplify right side
    2,848x = 4,375,183.36
  5. Step 5: Solve for x
    x = 4,375,183.36/2,848
  6. Step 6: Final answer
    x = 1,536.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.