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Finding the Fourth Proportional to 25,178.86, 37,768.29 and 8,540.58

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Solution

The fourth proportional to 25,178.86, 37,768.29 and 8,540.58 is: 12,810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,178.86 : 37,768.29 = 8,540.58 : x
  2. Step 2: Convert to fraction form
    25,178.86/37,768.29 = 8,540.58/x
  3. Step 3: Cross multiply
    25,178.86x = 37,768.29 × 8,540.58
  4. Step 4: Simplify right side
    25,178.86x = 322,563,012.31
  5. Step 5: Solve for x
    x = 322,563,012.31/25,178.86
  6. Step 6: Final answer
    x = 12,810.87

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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.