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Finding the Fourth Proportional to 37,574, 51,855.90 and 20,807

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Solution

The fourth proportional to 37,574, 51,855.90 and 20,807 is: 28,715.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,574 : 51,855.90 = 20,807 : x
  2. Step 2: Convert to fraction form
    37,574/51,855.90 = 20,807/x
  3. Step 3: Cross multiply
    37,574x = 51,855.90 × 20,807
  4. Step 4: Simplify right side
    37,574x = 1,078,965,711.30
  5. Step 5: Solve for x
    x = 1,078,965,711.30/37,574
  6. Step 6: Final answer
    x = 28,715.75

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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.