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Finding the Fourth Proportional to 7,844.75, 10,802.06 and 6,780.61

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Solution

The fourth proportional to 7,844.75, 10,802.06 and 6,780.61 is: 9,336.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.75 : 10,802.06 = 6,780.61 : x
  2. Step 2: Convert to fraction form
    7,844.75/10,802.06 = 6,780.61/x
  3. Step 3: Cross multiply
    7,844.75x = 10,802.06 × 6,780.61
  4. Step 4: Simplify right side
    7,844.75x = 73,244,561.08
  5. Step 5: Solve for x
    x = 73,244,561.08/7,844.75
  6. Step 6: Final answer
    x = 9,336.76

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1.5x scale

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.