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Finding the Fourth Proportional to 2,102.25, 3,153.78 and 948

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Solution

The fourth proportional to 2,102.25, 3,153.78 and 948 is: 1,422.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.25 : 3,153.78 = 948 : x
  2. Step 2: Convert to fraction form
    2,102.25/3,153.78 = 948/x
  3. Step 3: Cross multiply
    2,102.25x = 3,153.78 × 948
  4. Step 4: Simplify right side
    2,102.25x = 2,989,783.44
  5. Step 5: Solve for x
    x = 2,989,783.44/2,102.25
  6. Step 6: Final answer
    x = 1,422.18

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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.