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Finding the Fourth Proportional to 11,281.50, 16,911 and 5,434.92

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Solution

The fourth proportional to 11,281.50, 16,911 and 5,434.92 is: 8,146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,281.50 : 16,911 = 5,434.92 : x
  2. Step 2: Convert to fraction form
    11,281.50/16,911 = 5,434.92/x
  3. Step 3: Cross multiply
    11,281.50x = 16,911 × 5,434.92
  4. Step 4: Simplify right side
    11,281.50x = 91,909,932.12
  5. Step 5: Solve for x
    x = 91,909,932.12/11,281.50
  6. Step 6: Final answer
    x = 8,146.96

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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.