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Finding the Fourth Proportional to 7,971.49, 11,957.24 and 3,798.82

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Solution

The fourth proportional to 7,971.49, 11,957.24 and 3,798.82 is: 5,698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.49 : 11,957.24 = 3,798.82 : x
  2. Step 2: Convert to fraction form
    7,971.49/11,957.24 = 3,798.82/x
  3. Step 3: Cross multiply
    7,971.49x = 11,957.24 × 3,798.82
  4. Step 4: Simplify right side
    7,971.49x = 45,423,402.46
  5. Step 5: Solve for x
    x = 45,423,402.46/7,971.49
  6. Step 6: Final answer
    x = 5,698.23

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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.