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Finding the Fourth Proportional to 9,286.78, 13,929.65 and 6,790.53

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Solution

The fourth proportional to 9,286.78, 13,929.65 and 6,790.53 is: 10,185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.78 : 13,929.65 = 6,790.53 : x
  2. Step 2: Convert to fraction form
    9,286.78/13,929.65 = 6,790.53/x
  3. Step 3: Cross multiply
    9,286.78x = 13,929.65 × 6,790.53
  4. Step 4: Simplify right side
    9,286.78x = 94,589,670.63
  5. Step 5: Solve for x
    x = 94,589,670.63/9,286.78
  6. Step 6: Final answer
    x = 10,185.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.