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Finding the Fourth Proportional to 25,836.16, 38,713.92 and 20,640.64

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Solution

The fourth proportional to 25,836.16, 38,713.92 and 20,640.64 is: 30,928.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,836.16 : 38,713.92 = 20,640.64 : x
  2. Step 2: Convert to fraction form
    25,836.16/38,713.92 = 20,640.64/x
  3. Step 3: Cross multiply
    25,836.16x = 38,713.92 × 20,640.64
  4. Step 4: Simplify right side
    25,836.16x = 799,080,085.71
  5. Step 5: Solve for x
    x = 799,080,085.71/25,836.16
  6. Step 6: Final answer
    x = 30,928.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.