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Finding the Fourth Proportional to 6,751, 9,316.74 and 3,957.40

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Solution

The fourth proportional to 6,751, 9,316.74 and 3,957.40 is: 5,461.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751 : 9,316.74 = 3,957.40 : x
  2. Step 2: Convert to fraction form
    6,751/9,316.74 = 3,957.40/x
  3. Step 3: Cross multiply
    6,751x = 9,316.74 × 3,957.40
  4. Step 4: Simplify right side
    6,751x = 36,870,066.88
  5. Step 5: Solve for x
    x = 36,870,066.88/6,751
  6. Step 6: Final answer
    x = 5,461.42

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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.