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Finding the Fourth Proportional to 13,969.84, 20,920.48 and 9,024.49

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Solution

The fourth proportional to 13,969.84, 20,920.48 and 9,024.49 is: 13,514.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969.84 : 20,920.48 = 9,024.49 : x
  2. Step 2: Convert to fraction form
    13,969.84/20,920.48 = 9,024.49/x
  3. Step 3: Cross multiply
    13,969.84x = 20,920.48 × 9,024.49
  4. Step 4: Simplify right side
    13,969.84x = 188,796,662.56
  5. Step 5: Solve for x
    x = 188,796,662.56/13,969.84
  6. Step 6: Final answer
    x = 13,514.59

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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.