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Finding the Fourth Proportional to 1,549.63, 2,138.48 and 851.05

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Solution

The fourth proportional to 1,549.63, 2,138.48 and 851.05 is: 1,174.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.63 : 2,138.48 = 851.05 : x
  2. Step 2: Convert to fraction form
    1,549.63/2,138.48 = 851.05/x
  3. Step 3: Cross multiply
    1,549.63x = 2,138.48 × 851.05
  4. Step 4: Simplify right side
    1,549.63x = 1,819,953.40
  5. Step 5: Solve for x
    x = 1,819,953.40/1,549.63
  6. Step 6: Final answer
    x = 1,174.44

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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.