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Finding the Fourth Proportional to 37,740, 52,083.36 and 20,978.40

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Solution

The fourth proportional to 37,740, 52,083.36 and 20,978.40 is: 28,951.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,740 : 52,083.36 = 20,978.40 : x
  2. Step 2: Convert to fraction form
    37,740/52,083.36 = 20,978.40/x
  3. Step 3: Cross multiply
    37,740x = 52,083.36 × 20,978.40
  4. Step 4: Simplify right side
    37,740x = 1,092,625,559.42
  5. Step 5: Solve for x
    x = 1,092,625,559.42/37,740
  6. Step 6: Final answer
    x = 28,951.39

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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.