Home / 2,275.96-3,413.28-977.12

Finding the Fourth Proportional to 2,275.96, 3,413.28 and 977.12

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Solution

The fourth proportional to 2,275.96, 3,413.28 and 977.12 is: 1,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.96 : 3,413.28 = 977.12 : x
  2. Step 2: Convert to fraction form
    2,275.96/3,413.28 = 977.12/x
  3. Step 3: Cross multiply
    2,275.96x = 3,413.28 × 977.12
  4. Step 4: Simplify right side
    2,275.96x = 3,335,184.15
  5. Step 5: Solve for x
    x = 3,335,184.15/2,275.96
  6. Step 6: Final answer
    x = 1,465.40

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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.