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Finding the Fourth Proportional to 6,790, 9,366.36 and 4,809.55

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Solution

The fourth proportional to 6,790, 9,366.36 and 4,809.55 is: 6,634.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,790 : 9,366.36 = 4,809.55 : x
  2. Step 2: Convert to fraction form
    6,790/9,366.36 = 4,809.55/x
  3. Step 3: Cross multiply
    6,790x = 9,366.36 × 4,809.55
  4. Step 4: Simplify right side
    6,790x = 45,047,976.74
  5. Step 5: Solve for x
    x = 45,047,976.74/6,790
  6. Step 6: Final answer
    x = 6,634.46

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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.