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Finding the Fourth Proportional to 2,085, 3,126.92 and 623.76

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Solution

The fourth proportional to 2,085, 3,126.92 and 623.76 is: 935.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085 : 3,126.92 = 623.76 : x
  2. Step 2: Convert to fraction form
    2,085/3,126.92 = 623.76/x
  3. Step 3: Cross multiply
    2,085x = 3,126.92 × 623.76
  4. Step 4: Simplify right side
    2,085x = 1,950,447.62
  5. Step 5: Solve for x
    x = 1,950,447.62/2,085
  6. Step 6: Final answer
    x = 935.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.