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Finding the Fourth Proportional to 19,889.71, 29,828.23 and 6,739

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Solution

The fourth proportional to 19,889.71, 29,828.23 and 6,739 is: 10,106.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,889.71 : 29,828.23 = 6,739 : x
  2. Step 2: Convert to fraction form
    19,889.71/29,828.23 = 6,739/x
  3. Step 3: Cross multiply
    19,889.71x = 29,828.23 × 6,739
  4. Step 4: Simplify right side
    19,889.71x = 201,012,441.97
  5. Step 5: Solve for x
    x = 201,012,441.97/19,889.71
  6. Step 6: Final answer
    x = 10,106.35

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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.