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Finding the Fourth Proportional to 13,039, 19,561.74 and 3,805

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Solution

The fourth proportional to 13,039, 19,561.74 and 3,805 is: 5,708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,039 : 19,561.74 = 3,805 : x
  2. Step 2: Convert to fraction form
    13,039/19,561.74 = 3,805/x
  3. Step 3: Cross multiply
    13,039x = 19,561.74 × 3,805
  4. Step 4: Simplify right side
    13,039x = 74,432,420.70
  5. Step 5: Solve for x
    x = 74,432,420.70/13,039
  6. Step 6: Final answer
    x = 5,708.45

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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.