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Finding the Fourth Proportional to 14,067.68, 19,413.30 and 7,780

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Solution

The fourth proportional to 14,067.68, 19,413.30 and 7,780 is: 10,736.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,067.68 : 19,413.30 = 7,780 : x
  2. Step 2: Convert to fraction form
    14,067.68/19,413.30 = 7,780/x
  3. Step 3: Cross multiply
    14,067.68x = 19,413.30 × 7,780
  4. Step 4: Simplify right side
    14,067.68x = 151,035,474
  5. Step 5: Solve for x
    x = 151,035,474/14,067.68
  6. Step 6: Final answer
    x = 10,736.35

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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.