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Finding the Fourth Proportional to 51,853, 77,791.02 and 19,021

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Solution

The fourth proportional to 51,853, 77,791.02 and 19,021 is: 28,535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,853 : 77,791.02 = 19,021 : x
  2. Step 2: Convert to fraction form
    51,853/77,791.02 = 19,021/x
  3. Step 3: Cross multiply
    51,853x = 77,791.02 × 19,021
  4. Step 4: Simplify right side
    51,853x = 1,479,662,991.42
  5. Step 5: Solve for x
    x = 1,479,662,991.42/51,853
  6. Step 6: Final answer
    x = 28,535.73

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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.