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Finding the Fourth Proportional to 6,942.15, 9,580.42 and 3,957.95

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Solution

The fourth proportional to 6,942.15, 9,580.42 and 3,957.95 is: 5,462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.15 : 9,580.42 = 3,957.95 : x
  2. Step 2: Convert to fraction form
    6,942.15/9,580.42 = 3,957.95/x
  3. Step 3: Cross multiply
    6,942.15x = 9,580.42 × 3,957.95
  4. Step 4: Simplify right side
    6,942.15x = 37,918,852.24
  5. Step 5: Solve for x
    x = 37,918,852.24/6,942.15
  6. Step 6: Final answer
    x = 5,462.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.