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Finding the Fourth Proportional to 37,485, 51,729.84 and 20,718

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Solution

The fourth proportional to 37,485, 51,729.84 and 20,718 is: 28,591.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,485 : 51,729.84 = 20,718 : x
  2. Step 2: Convert to fraction form
    37,485/51,729.84 = 20,718/x
  3. Step 3: Cross multiply
    37,485x = 51,729.84 × 20,718
  4. Step 4: Simplify right side
    37,485x = 1,071,738,825.12
  5. Step 5: Solve for x
    x = 1,071,738,825.12/37,485
  6. Step 6: Final answer
    x = 28,591.14

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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.