Home / 2,978.24-4,462.49-1,515.38

Finding the Fourth Proportional to 2,978.24, 4,462.49 and 1,515.38

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Solution

The fourth proportional to 2,978.24, 4,462.49 and 1,515.38 is: 2,270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.24 : 4,462.49 = 1,515.38 : x
  2. Step 2: Convert to fraction form
    2,978.24/4,462.49 = 1,515.38/x
  3. Step 3: Cross multiply
    2,978.24x = 4,462.49 × 1,515.38
  4. Step 4: Simplify right side
    2,978.24x = 6,762,349.57
  5. Step 5: Solve for x
    x = 6,762,349.57/2,978.24
  6. Step 6: Final answer
    x = 2,270.59

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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.