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Finding the Fourth Proportional to 1,514.62, 2,090.37 and 851.64

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Solution

The fourth proportional to 1,514.62, 2,090.37 and 851.64 is: 1,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.62 : 2,090.37 = 851.64 : x
  2. Step 2: Convert to fraction form
    1,514.62/2,090.37 = 851.64/x
  3. Step 3: Cross multiply
    1,514.62x = 2,090.37 × 851.64
  4. Step 4: Simplify right side
    1,514.62x = 1,780,242.71
  5. Step 5: Solve for x
    x = 1,780,242.71/1,514.62
  6. Step 6: Final answer
    x = 1,175.37

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1.5x scale

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.