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Finding the Fourth Proportional to 1,549.88, 2,138.85 and 851.25

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Solution

The fourth proportional to 1,549.88, 2,138.85 and 851.25 is: 1,174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.88 : 2,138.85 = 851.25 : x
  2. Step 2: Convert to fraction form
    1,549.88/2,138.85 = 851.25/x
  3. Step 3: Cross multiply
    1,549.88x = 2,138.85 × 851.25
  4. Step 4: Simplify right side
    1,549.88x = 1,820,696.06
  5. Step 5: Solve for x
    x = 1,820,696.06/1,549.88
  6. Step 6: Final answer
    x = 1,174.74

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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.