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Finding the Fourth Proportional to 1,549.64, 2,138.42 and 851.01

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Solution

The fourth proportional to 1,549.64, 2,138.42 and 851.01 is: 1,174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.64 : 2,138.42 = 851.01 : x
  2. Step 2: Convert to fraction form
    1,549.64/2,138.42 = 851.01/x
  3. Step 3: Cross multiply
    1,549.64x = 2,138.42 × 851.01
  4. Step 4: Simplify right side
    1,549.64x = 1,819,812.55
  5. Step 5: Solve for x
    x = 1,819,812.55/1,549.64
  6. Step 6: Final answer
    x = 1,174.35

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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.