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Finding the Fourth Proportional to 21,774.24, 30,048.24 and 11,838.24

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Solution

The fourth proportional to 21,774.24, 30,048.24 and 11,838.24 is: 16,336.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774.24 : 30,048.24 = 11,838.24 : x
  2. Step 2: Convert to fraction form
    21,774.24/30,048.24 = 11,838.24/x
  3. Step 3: Cross multiply
    21,774.24x = 30,048.24 × 11,838.24
  4. Step 4: Simplify right side
    21,774.24x = 355,718,276.70
  5. Step 5: Solve for x
    x = 355,718,276.70/21,774.24
  6. Step 6: Final answer
    x = 16,336.66

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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.