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Finding the Fourth Proportional to 11,163.81, 15,406.06 and 6,972.06

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Solution

The fourth proportional to 11,163.81, 15,406.06 and 6,972.06 is: 9,621.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,163.81 : 15,406.06 = 6,972.06 : x
  2. Step 2: Convert to fraction form
    11,163.81/15,406.06 = 6,972.06/x
  3. Step 3: Cross multiply
    11,163.81x = 15,406.06 × 6,972.06
  4. Step 4: Simplify right side
    11,163.81x = 107,411,974.68
  5. Step 5: Solve for x
    x = 107,411,974.68/11,163.81
  6. Step 6: Final answer
    x = 9,621.44

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1.5x scale

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.