Home / 2,276.25-3,415.80-977.72

Finding the Fourth Proportional to 2,276.25, 3,415.80 and 977.72

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Solution

The fourth proportional to 2,276.25, 3,415.80 and 977.72 is: 1,467.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.25 : 3,415.80 = 977.72 : x
  2. Step 2: Convert to fraction form
    2,276.25/3,415.80 = 977.72/x
  3. Step 3: Cross multiply
    2,276.25x = 3,415.80 × 977.72
  4. Step 4: Simplify right side
    2,276.25x = 3,339,678.90
  5. Step 5: Solve for x
    x = 3,339,678.90/2,276.25
  6. Step 6: Final answer
    x = 1,467.18

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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.