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Finding the Fourth Proportional to 34,543, 47,669.34 and 19,639

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Solution

The fourth proportional to 34,543, 47,669.34 and 19,639 is: 27,101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,543 : 47,669.34 = 19,639 : x
  2. Step 2: Convert to fraction form
    34,543/47,669.34 = 19,639/x
  3. Step 3: Cross multiply
    34,543x = 47,669.34 × 19,639
  4. Step 4: Simplify right side
    34,543x = 936,178,168.26
  5. Step 5: Solve for x
    x = 936,178,168.26/34,543
  6. Step 6: Final answer
    x = 27,101.82

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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.