Home / 2,275.70-3,413.75-977.27

Finding the Fourth Proportional to 2,275.70, 3,413.75 and 977.27

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Solution

The fourth proportional to 2,275.70, 3,413.75 and 977.27 is: 1,465.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.70 : 3,413.75 = 977.27 : x
  2. Step 2: Convert to fraction form
    2,275.70/3,413.75 = 977.27/x
  3. Step 3: Cross multiply
    2,275.70x = 3,413.75 × 977.27
  4. Step 4: Simplify right side
    2,275.70x = 3,336,133.51
  5. Step 5: Solve for x
    x = 3,336,133.51/2,275.70
  6. Step 6: Final answer
    x = 1,465.98

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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.