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Finding the Fourth Proportional to 37,491, 51,738.12 and 20,724

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Solution

The fourth proportional to 37,491, 51,738.12 and 20,724 is: 28,599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,491 : 51,738.12 = 20,724 : x
  2. Step 2: Convert to fraction form
    37,491/51,738.12 = 20,724/x
  3. Step 3: Cross multiply
    37,491x = 51,738.12 × 20,724
  4. Step 4: Simplify right side
    37,491x = 1,072,220,798.88
  5. Step 5: Solve for x
    x = 1,072,220,798.88/37,491
  6. Step 6: Final answer
    x = 28,599.42

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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.