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Finding the Fourth Proportional to 19,838.88, 29,737.54 and 6,686.68

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Solution

The fourth proportional to 19,838.88, 29,737.54 and 6,686.68 is: 10,023.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.88 : 29,737.54 = 6,686.68 : x
  2. Step 2: Convert to fraction form
    19,838.88/29,737.54 = 6,686.68/x
  3. Step 3: Cross multiply
    19,838.88x = 29,737.54 × 6,686.68
  4. Step 4: Simplify right side
    19,838.88x = 198,845,413.97
  5. Step 5: Solve for x
    x = 198,845,413.97/19,838.88
  6. Step 6: Final answer
    x = 10,023.02

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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.