Home / 2,976.72-4,462.56-1,415.84

Finding the Fourth Proportional to 2,976.72, 4,462.56 and 1,415.84

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Solution

The fourth proportional to 2,976.72, 4,462.56 and 1,415.84 is: 2,122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.72 : 4,462.56 = 1,415.84 : x
  2. Step 2: Convert to fraction form
    2,976.72/4,462.56 = 1,415.84/x
  3. Step 3: Cross multiply
    2,976.72x = 4,462.56 × 1,415.84
  4. Step 4: Simplify right side
    2,976.72x = 6,318,270.95
  5. Step 5: Solve for x
    x = 6,318,270.95/2,976.72
  6. Step 6: Final answer
    x = 2,122.56

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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.