Home / 1,413.24-2,117.70-864.60

Finding the Fourth Proportional to 1,413.24, 2,117.70 and 864.60

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Solution

The fourth proportional to 1,413.24, 2,117.70 and 864.60 is: 1,295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.24 : 2,117.70 = 864.60 : x
  2. Step 2: Convert to fraction form
    1,413.24/2,117.70 = 864.60/x
  3. Step 3: Cross multiply
    1,413.24x = 2,117.70 × 864.60
  4. Step 4: Simplify right side
    1,413.24x = 1,830,963.42
  5. Step 5: Solve for x
    x = 1,830,963.42/1,413.24
  6. Step 6: Final answer
    x = 1,295.58

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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.