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Finding the Fourth Proportional to 37,605, 51,882 and 21,460.80

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Solution

The fourth proportional to 37,605, 51,882 and 21,460.80 is: 29,608.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,605 : 51,882 = 21,460.80 : x
  2. Step 2: Convert to fraction form
    37,605/51,882 = 21,460.80/x
  3. Step 3: Cross multiply
    37,605x = 51,882 × 21,460.80
  4. Step 4: Simplify right side
    37,605x = 1,113,429,225.60
  5. Step 5: Solve for x
    x = 1,113,429,225.60/37,605
  6. Step 6: Final answer
    x = 29,608.54

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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.