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Finding the Fourth Proportional to 19,689.50, 29,539.11 and 5,838.50

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Solution

The fourth proportional to 19,689.50, 29,539.11 and 5,838.50 is: 8,759.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,689.50 : 29,539.11 = 5,838.50 : x
  2. Step 2: Convert to fraction form
    19,689.50/29,539.11 = 5,838.50/x
  3. Step 3: Cross multiply
    19,689.50x = 29,539.11 × 5,838.50
  4. Step 4: Simplify right side
    19,689.50x = 172,464,093.74
  5. Step 5: Solve for x
    x = 172,464,093.74/19,689.50
  6. Step 6: Final answer
    x = 8,759.19

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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.