Home / 13,778.44-19,013.82-7,810

Finding the Fourth Proportional to 13,778.44, 19,013.82 and 7,810

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Solution

The fourth proportional to 13,778.44, 19,013.82 and 7,810 is: 10,777.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.44 : 19,013.82 = 7,810 : x
  2. Step 2: Convert to fraction form
    13,778.44/19,013.82 = 7,810/x
  3. Step 3: Cross multiply
    13,778.44x = 19,013.82 × 7,810
  4. Step 4: Simplify right side
    13,778.44x = 148,497,934.20
  5. Step 5: Solve for x
    x = 148,497,934.20/13,778.44
  6. Step 6: Final answer
    x = 10,777.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.