Home / 13,936-19,231.71-7,648.36

Finding the Fourth Proportional to 13,936, 19,231.71 and 7,648.36

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Solution

The fourth proportional to 13,936, 19,231.71 and 7,648.36 is: 10,554.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,936 : 19,231.71 = 7,648.36 : x
  2. Step 2: Convert to fraction form
    13,936/19,231.71 = 7,648.36/x
  3. Step 3: Cross multiply
    13,936x = 19,231.71 × 7,648.36
  4. Step 4: Simplify right side
    13,936x = 147,091,041.50
  5. Step 5: Solve for x
    x = 147,091,041.50/13,936
  6. Step 6: Final answer
    x = 10,554.75

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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.