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Finding the Fourth Proportional to 13,311.81, 18,371.21 and 7,722.81

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Solution

The fourth proportional to 13,311.81, 18,371.21 and 7,722.81 is: 10,658.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,311.81 : 18,371.21 = 7,722.81 : x
  2. Step 2: Convert to fraction form
    13,311.81/18,371.21 = 7,722.81/x
  3. Step 3: Cross multiply
    13,311.81x = 18,371.21 × 7,722.81
  4. Step 4: Simplify right side
    13,311.81x = 141,877,325.69
  5. Step 5: Solve for x
    x = 141,877,325.69/13,311.81
  6. Step 6: Final answer
    x = 10,658.00

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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.