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Finding the Fourth Proportional to 1,514.36, 2,089.81 and 851.42

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Solution

The fourth proportional to 1,514.36, 2,089.81 and 851.42 is: 1,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.36 : 2,089.81 = 851.42 : x
  2. Step 2: Convert to fraction form
    1,514.36/2,089.81 = 851.42/x
  3. Step 3: Cross multiply
    1,514.36x = 2,089.81 × 851.42
  4. Step 4: Simplify right side
    1,514.36x = 1,779,306.03
  5. Step 5: Solve for x
    x = 1,779,306.03/1,514.36
  6. Step 6: Final answer
    x = 1,174.96

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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.