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Finding the Fourth Proportional to 21,774.16, 30,048.20 and 11,838.16

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Solution

The fourth proportional to 21,774.16, 30,048.20 and 11,838.16 is: 16,336.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774.16 : 30,048.20 = 11,838.16 : x
  2. Step 2: Convert to fraction form
    21,774.16/30,048.20 = 11,838.16/x
  3. Step 3: Cross multiply
    21,774.16x = 30,048.20 × 11,838.16
  4. Step 4: Simplify right side
    21,774.16x = 355,715,399.31
  5. Step 5: Solve for x
    x = 355,715,399.31/21,774.16
  6. Step 6: Final answer
    x = 16,336.58

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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.