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Finding the Fourth Proportional to 1,413.23, 1,950.36 and 853.84

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Solution

The fourth proportional to 1,413.23, 1,950.36 and 853.84 is: 1,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.23 : 1,950.36 = 853.84 : x
  2. Step 2: Convert to fraction form
    1,413.23/1,950.36 = 853.84/x
  3. Step 3: Cross multiply
    1,413.23x = 1,950.36 × 853.84
  4. Step 4: Simplify right side
    1,413.23x = 1,665,295.38
  5. Step 5: Solve for x
    x = 1,665,295.38/1,413.23
  6. Step 6: Final answer
    x = 1,178.36

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1.5x scale

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.