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Finding the Fourth Proportional to 37,167, 51,290.64 and 20,400

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Solution

The fourth proportional to 37,167, 51,290.64 and 20,400 is: 28,152.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,167 : 51,290.64 = 20,400 : x
  2. Step 2: Convert to fraction form
    37,167/51,290.64 = 20,400/x
  3. Step 3: Cross multiply
    37,167x = 51,290.64 × 20,400
  4. Step 4: Simplify right side
    37,167x = 1,046,329,056
  5. Step 5: Solve for x
    x = 1,046,329,056/37,167
  6. Step 6: Final answer
    x = 28,152.10

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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.