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Finding the Fourth Proportional to 12,618, 17,413.44 and 7,029

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Solution

The fourth proportional to 12,618, 17,413.44 and 7,029 is: 9,700.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,618 : 17,413.44 = 7,029 : x
  2. Step 2: Convert to fraction form
    12,618/17,413.44 = 7,029/x
  3. Step 3: Cross multiply
    12,618x = 17,413.44 × 7,029
  4. Step 4: Simplify right side
    12,618x = 122,399,069.76
  5. Step 5: Solve for x
    x = 122,399,069.76/12,618
  6. Step 6: Final answer
    x = 9,700.35

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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.