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Finding the Fourth Proportional to 10,931.81, 16,383.20 and 4,354.38

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Solution

The fourth proportional to 10,931.81, 16,383.20 and 4,354.38 is: 6,525.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931.81 : 16,383.20 = 4,354.38 : x
  2. Step 2: Convert to fraction form
    10,931.81/16,383.20 = 4,354.38/x
  3. Step 3: Cross multiply
    10,931.81x = 16,383.20 × 4,354.38
  4. Step 4: Simplify right side
    10,931.81x = 71,338,656.64
  5. Step 5: Solve for x
    x = 71,338,656.64/10,931.81
  6. Step 6: Final answer
    x = 6,525.79

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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.