Home / 2,275.56-3,413.61-977.40

Finding the Fourth Proportional to 2,275.56, 3,413.61 and 977.40

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Solution

The fourth proportional to 2,275.56, 3,413.61 and 977.40 is: 1,466.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.56 : 3,413.61 = 977.40 : x
  2. Step 2: Convert to fraction form
    2,275.56/3,413.61 = 977.40/x
  3. Step 3: Cross multiply
    2,275.56x = 3,413.61 × 977.40
  4. Step 4: Simplify right side
    2,275.56x = 3,336,462.41
  5. Step 5: Solve for x
    x = 3,336,462.41/2,275.56
  6. Step 6: Final answer
    x = 1,466.22

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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.