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Finding the Fourth Proportional to 7,769.78, 11,698.49 and 6,851.24

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Solution

The fourth proportional to 7,769.78, 11,698.49 and 6,851.24 is: 10,315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.78 : 11,698.49 = 6,851.24 : x
  2. Step 2: Convert to fraction form
    7,769.78/11,698.49 = 6,851.24/x
  3. Step 3: Cross multiply
    7,769.78x = 11,698.49 × 6,851.24
  4. Step 4: Simplify right side
    7,769.78x = 80,149,162.63
  5. Step 5: Solve for x
    x = 80,149,162.63/7,769.78
  6. Step 6: Final answer
    x = 10,315.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.