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Finding the Fourth Proportional to 14,472.30, 19,974.09 and 8,505.45

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Solution

The fourth proportional to 14,472.30, 19,974.09 and 8,505.45 is: 11,738.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,472.30 : 19,974.09 = 8,505.45 : x
  2. Step 2: Convert to fraction form
    14,472.30/19,974.09 = 8,505.45/x
  3. Step 3: Cross multiply
    14,472.30x = 19,974.09 × 8,505.45
  4. Step 4: Simplify right side
    14,472.30x = 169,888,623.79
  5. Step 5: Solve for x
    x = 169,888,623.79/14,472.30
  6. Step 6: Final answer
    x = 11,738.88

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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.