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Finding the Fourth Proportional to 1,549.76, 2,138.80 and 851.28

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Solution

The fourth proportional to 1,549.76, 2,138.80 and 851.28 is: 1,174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.76 : 2,138.80 = 851.28 : x
  2. Step 2: Convert to fraction form
    1,549.76/2,138.80 = 851.28/x
  3. Step 3: Cross multiply
    1,549.76x = 2,138.80 × 851.28
  4. Step 4: Simplify right side
    1,549.76x = 1,820,717.66
  5. Step 5: Solve for x
    x = 1,820,717.66/1,549.76
  6. Step 6: Final answer
    x = 1,174.84

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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.