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Finding the Fourth Proportional to 7,730.80, 10,668.48 and 4,194

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Solution

The fourth proportional to 7,730.80, 10,668.48 and 4,194 is: 5,787.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.80 : 10,668.48 = 4,194 : x
  2. Step 2: Convert to fraction form
    7,730.80/10,668.48 = 4,194/x
  3. Step 3: Cross multiply
    7,730.80x = 10,668.48 × 4,194
  4. Step 4: Simplify right side
    7,730.80x = 44,743,605.12
  5. Step 5: Solve for x
    x = 44,743,605.12/7,730.80
  6. Step 6: Final answer
    x = 5,787.71

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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.