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Finding the Fourth Proportional to 5,925.78, 8,178.30 and 3,408.48

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Solution

The fourth proportional to 5,925.78, 8,178.30 and 3,408.48 is: 4,704.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,925.78 : 8,178.30 = 3,408.48 : x
  2. Step 2: Convert to fraction form
    5,925.78/8,178.30 = 3,408.48/x
  3. Step 3: Cross multiply
    5,925.78x = 8,178.30 × 3,408.48
  4. Step 4: Simplify right side
    5,925.78x = 27,875,571.98
  5. Step 5: Solve for x
    x = 27,875,571.98/5,925.78
  6. Step 6: Final answer
    x = 4,704.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.