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Finding the Fourth Proportional to 9,415.91, 14,101.59 and 8,176.58

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Solution

The fourth proportional to 9,415.91, 14,101.59 and 8,176.58 is: 12,245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.91 : 14,101.59 = 8,176.58 : x
  2. Step 2: Convert to fraction form
    9,415.91/14,101.59 = 8,176.58/x
  3. Step 3: Cross multiply
    9,415.91x = 14,101.59 × 8,176.58
  4. Step 4: Simplify right side
    9,415.91x = 115,302,737.88
  5. Step 5: Solve for x
    x = 115,302,737.88/9,415.91
  6. Step 6: Final answer
    x = 12,245.53

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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.