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Finding the Fourth Proportional to 27,685.40, 38,202.38 and 15,584.40

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Solution

The fourth proportional to 27,685.40, 38,202.38 and 15,584.40 is: 21,504.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,685.40 : 38,202.38 = 15,584.40 : x
  2. Step 2: Convert to fraction form
    27,685.40/38,202.38 = 15,584.40/x
  3. Step 3: Cross multiply
    27,685.40x = 38,202.38 × 15,584.40
  4. Step 4: Simplify right side
    27,685.40x = 595,361,170.87
  5. Step 5: Solve for x
    x = 595,361,170.87/27,685.40
  6. Step 6: Final answer
    x = 21,504.52

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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.