Home / 1,413.75-2,116.35-947.79

Finding the Fourth Proportional to 1,413.75, 2,116.35 and 947.79

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Solution

The fourth proportional to 1,413.75, 2,116.35 and 947.79 is: 1,418.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.75 : 2,116.35 = 947.79 : x
  2. Step 2: Convert to fraction form
    1,413.75/2,116.35 = 947.79/x
  3. Step 3: Cross multiply
    1,413.75x = 2,116.35 × 947.79
  4. Step 4: Simplify right side
    1,413.75x = 2,005,855.37
  5. Step 5: Solve for x
    x = 2,005,855.37/1,413.75
  6. Step 6: Final answer
    x = 1,418.82

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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.