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Finding the Fourth Proportional to 7,127.22, 9,835.62 and 3,940.68

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Solution

The fourth proportional to 7,127.22, 9,835.62 and 3,940.68 is: 5,438.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.22 : 9,835.62 = 3,940.68 : x
  2. Step 2: Convert to fraction form
    7,127.22/9,835.62 = 3,940.68/x
  3. Step 3: Cross multiply
    7,127.22x = 9,835.62 × 3,940.68
  4. Step 4: Simplify right side
    7,127.22x = 38,759,031.02
  5. Step 5: Solve for x
    x = 38,759,031.02/7,127.22
  6. Step 6: Final answer
    x = 5,438.17

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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.