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Finding the Fourth Proportional to 7,957.85, 11,942.98 and 5,509.82

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Solution

The fourth proportional to 7,957.85, 11,942.98 and 5,509.82 is: 8,269.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.85 : 11,942.98 = 5,509.82 : x
  2. Step 2: Convert to fraction form
    7,957.85/11,942.98 = 5,509.82/x
  3. Step 3: Cross multiply
    7,957.85x = 11,942.98 × 5,509.82
  4. Step 4: Simplify right side
    7,957.85x = 65,803,686.15
  5. Step 5: Solve for x
    x = 65,803,686.15/7,957.85
  6. Step 6: Final answer
    x = 8,269.03

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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.