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Finding the Fourth Proportional to 19,888.71, 29,826.73 and 6,738

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Solution

The fourth proportional to 19,888.71, 29,826.73 and 6,738 is: 10,104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,888.71 : 29,826.73 = 6,738 : x
  2. Step 2: Convert to fraction form
    19,888.71/29,826.73 = 6,738/x
  3. Step 3: Cross multiply
    19,888.71x = 29,826.73 × 6,738
  4. Step 4: Simplify right side
    19,888.71x = 200,972,506.74
  5. Step 5: Solve for x
    x = 200,972,506.74/19,888.71
  6. Step 6: Final answer
    x = 10,104.85

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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.