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Finding the Fourth Proportional to 7,830, 10,804.41 and 4,292.28

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Solution

The fourth proportional to 7,830, 10,804.41 and 4,292.28 is: 5,922.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830 : 10,804.41 = 4,292.28 : x
  2. Step 2: Convert to fraction form
    7,830/10,804.41 = 4,292.28/x
  3. Step 3: Cross multiply
    7,830x = 10,804.41 × 4,292.28
  4. Step 4: Simplify right side
    7,830x = 46,375,552.95
  5. Step 5: Solve for x
    x = 46,375,552.95/7,830
  6. Step 6: Final answer
    x = 5,922.80

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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.