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Finding the Fourth Proportional to 10,937.80, 16,408.86 and 3,146.68

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Solution

The fourth proportional to 10,937.80, 16,408.86 and 3,146.68 is: 4,720.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.80 : 16,408.86 = 3,146.68 : x
  2. Step 2: Convert to fraction form
    10,937.80/16,408.86 = 3,146.68/x
  3. Step 3: Cross multiply
    10,937.80x = 16,408.86 × 3,146.68
  4. Step 4: Simplify right side
    10,937.80x = 51,633,431.58
  5. Step 5: Solve for x
    x = 51,633,431.58/10,937.80
  6. Step 6: Final answer
    x = 4,720.64

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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.