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Finding the Fourth Proportional to 34,485, 47,589.35 and 19,581

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Solution

The fourth proportional to 34,485, 47,589.35 and 19,581 is: 27,021.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,485 : 47,589.35 = 19,581 : x
  2. Step 2: Convert to fraction form
    34,485/47,589.35 = 19,581/x
  3. Step 3: Cross multiply
    34,485x = 47,589.35 × 19,581
  4. Step 4: Simplify right side
    34,485x = 931,846,964.45
  5. Step 5: Solve for x
    x = 931,846,964.45/34,485
  6. Step 6: Final answer
    x = 27,021.81

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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.