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Finding the Fourth Proportional to 37,626, 51,925.50 and 20,859

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Solution

The fourth proportional to 37,626, 51,925.50 and 20,859 is: 28,786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,626 : 51,925.50 = 20,859 : x
  2. Step 2: Convert to fraction form
    37,626/51,925.50 = 20,859/x
  3. Step 3: Cross multiply
    37,626x = 51,925.50 × 20,859
  4. Step 4: Simplify right side
    37,626x = 1,083,114,004.50
  5. Step 5: Solve for x
    x = 1,083,114,004.50/37,626
  6. Step 6: Final answer
    x = 28,786.32

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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.