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Finding the Fourth Proportional to 27,622, 38,118.63 and 15,685.59

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Solution

The fourth proportional to 27,622, 38,118.63 and 15,685.59 is: 21,646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,622 : 38,118.63 = 15,685.59 : x
  2. Step 2: Convert to fraction form
    27,622/38,118.63 = 15,685.59/x
  3. Step 3: Cross multiply
    27,622x = 38,118.63 × 15,685.59
  4. Step 4: Simplify right side
    27,622x = 597,913,201.54
  5. Step 5: Solve for x
    x = 597,913,201.54/27,622
  6. Step 6: Final answer
    x = 21,646.27

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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.