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Finding the Fourth Proportional to 1,413.40, 2,120.34 and 835

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Solution

The fourth proportional to 1,413.40, 2,120.34 and 835 is: 1,252.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.40 : 2,120.34 = 835 : x
  2. Step 2: Convert to fraction form
    1,413.40/2,120.34 = 835/x
  3. Step 3: Cross multiply
    1,413.40x = 2,120.34 × 835
  4. Step 4: Simplify right side
    1,413.40x = 1,770,483.90
  5. Step 5: Solve for x
    x = 1,770,483.90/1,413.40
  6. Step 6: Final answer
    x = 1,252.64

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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.