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Finding the Fourth Proportional to 27,833, 38,409.63 and 15,086.39

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Solution

The fourth proportional to 27,833, 38,409.63 and 15,086.39 is: 20,819.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833 : 38,409.63 = 15,086.39 : x
  2. Step 2: Convert to fraction form
    27,833/38,409.63 = 15,086.39/x
  3. Step 3: Cross multiply
    27,833x = 38,409.63 × 15,086.39
  4. Step 4: Simplify right side
    27,833x = 579,462,657.94
  5. Step 5: Solve for x
    x = 579,462,657.94/27,833
  6. Step 6: Final answer
    x = 20,819.27

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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.