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Finding the Fourth Proportional to 12,300, 16,974.48 and 7,334.88

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Solution

The fourth proportional to 12,300, 16,974.48 and 7,334.88 is: 10,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,300 : 16,974.48 = 7,334.88 : x
  2. Step 2: Convert to fraction form
    12,300/16,974.48 = 7,334.88/x
  3. Step 3: Cross multiply
    12,300x = 16,974.48 × 7,334.88
  4. Step 4: Simplify right side
    12,300x = 124,505,773.86
  5. Step 5: Solve for x
    x = 124,505,773.86/12,300
  6. Step 6: Final answer
    x = 10,122.42

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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.