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Finding the Fourth Proportional to 7,985.50, 11,978.20 and 2,438.83

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Solution

The fourth proportional to 7,985.50, 11,978.20 and 2,438.83 is: 3,658.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985.50 : 11,978.20 = 2,438.83 : x
  2. Step 2: Convert to fraction form
    7,985.50/11,978.20 = 2,438.83/x
  3. Step 3: Cross multiply
    7,985.50x = 11,978.20 × 2,438.83
  4. Step 4: Simplify right side
    7,985.50x = 29,212,730.43
  5. Step 5: Solve for x
    x = 29,212,730.43/7,985.50
  6. Step 6: Final answer
    x = 3,658.22

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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.