Home / 1,413.06-2,117.33-949.13

Finding the Fourth Proportional to 1,413.06, 2,117.33 and 949.13

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Solution

The fourth proportional to 1,413.06, 2,117.33 and 949.13 is: 1,422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.06 : 2,117.33 = 949.13 : x
  2. Step 2: Convert to fraction form
    1,413.06/2,117.33 = 949.13/x
  3. Step 3: Cross multiply
    1,413.06x = 2,117.33 × 949.13
  4. Step 4: Simplify right side
    1,413.06x = 2,009,606.09
  5. Step 5: Solve for x
    x = 2,009,606.09/1,413.06
  6. Step 6: Final answer
    x = 1,422.17

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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.