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Finding the Fourth Proportional to 38,981.44, 53,738.40 and 27,784

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Solution

The fourth proportional to 38,981.44, 53,738.40 and 27,784 is: 38,302.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,981.44 : 53,738.40 = 27,784 : x
  2. Step 2: Convert to fraction form
    38,981.44/53,738.40 = 27,784/x
  3. Step 3: Cross multiply
    38,981.44x = 53,738.40 × 27,784
  4. Step 4: Simplify right side
    38,981.44x = 1,493,067,705.60
  5. Step 5: Solve for x
    x = 1,493,067,705.60/38,981.44
  6. Step 6: Final answer
    x = 38,302.02

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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.