Home / 1,431.09-2,140.16-1,413.27

Finding the Fourth Proportional to 1,431.09, 2,140.16 and 1,413.27

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Solution

The fourth proportional to 1,431.09, 2,140.16 and 1,413.27 is: 2,113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.09 : 2,140.16 = 1,413.27 : x
  2. Step 2: Convert to fraction form
    1,431.09/2,140.16 = 1,413.27/x
  3. Step 3: Cross multiply
    1,431.09x = 2,140.16 × 1,413.27
  4. Step 4: Simplify right side
    1,431.09x = 3,024,616.86
  5. Step 5: Solve for x
    x = 3,024,616.86/1,431.09
  6. Step 6: Final answer
    x = 2,113.51

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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.