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Finding the Fourth Proportional to 21,774.40, 30,047.84 and 11,838.40

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Solution

The fourth proportional to 21,774.40, 30,047.84 and 11,838.40 is: 16,336.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774.40 : 30,047.84 = 11,838.40 : x
  2. Step 2: Convert to fraction form
    21,774.40/30,047.84 = 11,838.40/x
  3. Step 3: Cross multiply
    21,774.40x = 30,047.84 × 11,838.40
  4. Step 4: Simplify right side
    21,774.40x = 355,718,349.06
  5. Step 5: Solve for x
    x = 355,718,349.06/21,774.40
  6. Step 6: Final answer
    x = 16,336.54

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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.