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Finding the Fourth Proportional to 38,980.44, 53,737.02 and 27,783

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Solution

The fourth proportional to 38,980.44, 53,737.02 and 27,783 is: 38,300.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,980.44 : 53,737.02 = 27,783 : x
  2. Step 2: Convert to fraction form
    38,980.44/53,737.02 = 27,783/x
  3. Step 3: Cross multiply
    38,980.44x = 53,737.02 × 27,783
  4. Step 4: Simplify right side
    38,980.44x = 1,492,975,626.66
  5. Step 5: Solve for x
    x = 1,492,975,626.66/38,980.44
  6. Step 6: Final answer
    x = 38,300.64

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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.