Home / 7,838-11,754.80-3,941.36

Finding the Fourth Proportional to 7,838, 11,754.80 and 3,941.36

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Solution

The fourth proportional to 7,838, 11,754.80 and 3,941.36 is: 5,910.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838 : 11,754.80 = 3,941.36 : x
  2. Step 2: Convert to fraction form
    7,838/11,754.80 = 3,941.36/x
  3. Step 3: Cross multiply
    7,838x = 11,754.80 × 3,941.36
  4. Step 4: Simplify right side
    7,838x = 46,329,898.53
  5. Step 5: Solve for x
    x = 46,329,898.53/7,838
  6. Step 6: Final answer
    x = 5,910.93

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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.