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Finding the Fourth Proportional to 7,971.99, 11,959.89 and 3,810.81

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Solution

The fourth proportional to 7,971.99, 11,959.89 and 3,810.81 is: 5,717.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.99 : 11,959.89 = 3,810.81 : x
  2. Step 2: Convert to fraction form
    7,971.99/11,959.89 = 3,810.81/x
  3. Step 3: Cross multiply
    7,971.99x = 11,959.89 × 3,810.81
  4. Step 4: Simplify right side
    7,971.99x = 45,576,868.41
  5. Step 5: Solve for x
    x = 45,576,868.41/7,971.99
  6. Step 6: Final answer
    x = 5,717.13

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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.