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Finding the Fourth Proportional to 37,620, 51,915.90 and 20,853

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Solution

The fourth proportional to 37,620, 51,915.90 and 20,853 is: 28,777.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,620 : 51,915.90 = 20,853 : x
  2. Step 2: Convert to fraction form
    37,620/51,915.90 = 20,853/x
  3. Step 3: Cross multiply
    37,620x = 51,915.90 × 20,853
  4. Step 4: Simplify right side
    37,620x = 1,082,602,262.70
  5. Step 5: Solve for x
    x = 1,082,602,262.70/37,620
  6. Step 6: Final answer
    x = 28,777.31

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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.