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Finding the Fourth Proportional to 2,514.78, 3,771.75 and 666.01

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Solution

The fourth proportional to 2,514.78, 3,771.75 and 666.01 is: 998.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.78 : 3,771.75 = 666.01 : x
  2. Step 2: Convert to fraction form
    2,514.78/3,771.75 = 666.01/x
  3. Step 3: Cross multiply
    2,514.78x = 3,771.75 × 666.01
  4. Step 4: Simplify right side
    2,514.78x = 2,512,004.36
  5. Step 5: Solve for x
    x = 2,512,004.36/2,514.78
  6. Step 6: Final answer
    x = 998.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.