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Finding the Fourth Proportional to 1,413.92, 1,951.14 and 854.36

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Solution

The fourth proportional to 1,413.92, 1,951.14 and 854.36 is: 1,178.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.92 : 1,951.14 = 854.36 : x
  2. Step 2: Convert to fraction form
    1,413.92/1,951.14 = 854.36/x
  3. Step 3: Cross multiply
    1,413.92x = 1,951.14 × 854.36
  4. Step 4: Simplify right side
    1,413.92x = 1,666,975.97
  5. Step 5: Solve for x
    x = 1,666,975.97/1,413.92
  6. Step 6: Final answer
    x = 1,178.97

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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.