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Finding the Fourth Proportional to 5,307, 7,960.50 and 2,998.68

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Solution

The fourth proportional to 5,307, 7,960.50 and 2,998.68 is: 4,498.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307 : 7,960.50 = 2,998.68 : x
  2. Step 2: Convert to fraction form
    5,307/7,960.50 = 2,998.68/x
  3. Step 3: Cross multiply
    5,307x = 7,960.50 × 2,998.68
  4. Step 4: Simplify right side
    5,307x = 23,870,992.14
  5. Step 5: Solve for x
    x = 23,870,992.14/5,307
  6. Step 6: Final answer
    x = 4,498.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.