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Finding the Fourth Proportional to 9,175.66, 12,658.32 and 5,447.50

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Solution

The fourth proportional to 9,175.66, 12,658.32 and 5,447.50 is: 7,515.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.66 : 12,658.32 = 5,447.50 : x
  2. Step 2: Convert to fraction form
    9,175.66/12,658.32 = 5,447.50/x
  3. Step 3: Cross multiply
    9,175.66x = 12,658.32 × 5,447.50
  4. Step 4: Simplify right side
    9,175.66x = 68,956,198.20
  5. Step 5: Solve for x
    x = 68,956,198.20/9,175.66
  6. Step 6: Final answer
    x = 7,515.12

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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.