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Finding the Fourth Proportional to 19,805.76, 27,336 and 11,421.12

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Solution

The fourth proportional to 19,805.76, 27,336 and 11,421.12 is: 15,763.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,805.76 : 27,336 = 11,421.12 : x
  2. Step 2: Convert to fraction form
    19,805.76/27,336 = 11,421.12/x
  3. Step 3: Cross multiply
    19,805.76x = 27,336 × 11,421.12
  4. Step 4: Simplify right side
    19,805.76x = 312,207,736.32
  5. Step 5: Solve for x
    x = 312,207,736.32/19,805.76
  6. Step 6: Final answer
    x = 15,763.48

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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.