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Finding the Fourth Proportional to 37,170, 51,294.60 and 20,402.64

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Solution

The fourth proportional to 37,170, 51,294.60 and 20,402.64 is: 28,155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,170 : 51,294.60 = 20,402.64 : x
  2. Step 2: Convert to fraction form
    37,170/51,294.60 = 20,402.64/x
  3. Step 3: Cross multiply
    37,170x = 51,294.60 × 20,402.64
  4. Step 4: Simplify right side
    37,170x = 1,046,545,257.74
  5. Step 5: Solve for x
    x = 1,046,545,257.74/37,170
  6. Step 6: Final answer
    x = 28,155.64

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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.