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Finding the Fourth Proportional to 11,304.81, 16,933.28 and 7,142.67

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Solution

The fourth proportional to 11,304.81, 16,933.28 and 7,142.67 is: 10,698.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,304.81 : 16,933.28 = 7,142.67 : x
  2. Step 2: Convert to fraction form
    11,304.81/16,933.28 = 7,142.67/x
  3. Step 3: Cross multiply
    11,304.81x = 16,933.28 × 7,142.67
  4. Step 4: Simplify right side
    11,304.81x = 120,948,795.34
  5. Step 5: Solve for x
    x = 120,948,795.34/11,304.81
  6. Step 6: Final answer
    x = 10,698.88

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1.5x scale

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.