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Finding the Fourth Proportional to 25,783.38, 38,680.74 and 8,254.98

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Solution

The fourth proportional to 25,783.38, 38,680.74 and 8,254.98 is: 12,384.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,783.38 : 38,680.74 = 8,254.98 : x
  2. Step 2: Convert to fraction form
    25,783.38/38,680.74 = 8,254.98/x
  3. Step 3: Cross multiply
    25,783.38x = 38,680.74 × 8,254.98
  4. Step 4: Simplify right side
    25,783.38x = 319,308,735.09
  5. Step 5: Solve for x
    x = 319,308,735.09/25,783.38
  6. Step 6: Final answer
    x = 12,384.29

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