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Finding the Fourth Proportional to 9,363.78, 12,927.38 and 6,986.80

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Solution

The fourth proportional to 9,363.78, 12,927.38 and 6,986.80 is: 9,645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,363.78 : 12,927.38 = 6,986.80 : x
  2. Step 2: Convert to fraction form
    9,363.78/12,927.38 = 6,986.80/x
  3. Step 3: Cross multiply
    9,363.78x = 12,927.38 × 6,986.80
  4. Step 4: Simplify right side
    9,363.78x = 90,321,018.58
  5. Step 5: Solve for x
    x = 90,321,018.58/9,363.78
  6. Step 6: Final answer
    x = 9,645.79

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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.