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Finding the Fourth Proportional to 1,548.63, 2,137.07 and 850.01

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Solution

The fourth proportional to 1,548.63, 2,137.07 and 850.01 is: 1,172.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.63 : 2,137.07 = 850.01 : x
  2. Step 2: Convert to fraction form
    1,548.63/2,137.07 = 850.01/x
  3. Step 3: Cross multiply
    1,548.63x = 2,137.07 × 850.01
  4. Step 4: Simplify right side
    1,548.63x = 1,816,522.31
  5. Step 5: Solve for x
    x = 1,816,522.31/1,548.63
  6. Step 6: Final answer
    x = 1,172.99

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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.