Home / 2,276.40-3,413.99-977.57

Finding the Fourth Proportional to 2,276.40, 3,413.99 and 977.57

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Solution

The fourth proportional to 2,276.40, 3,413.99 and 977.57 is: 1,466.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.40 : 3,413.99 = 977.57 : x
  2. Step 2: Convert to fraction form
    2,276.40/3,413.99 = 977.57/x
  3. Step 3: Cross multiply
    2,276.40x = 3,413.99 × 977.57
  4. Step 4: Simplify right side
    2,276.40x = 3,337,397.13
  5. Step 5: Solve for x
    x = 3,337,397.13/2,276.40
  6. Step 6: Final answer
    x = 1,466.09

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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.