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Finding the Fourth Proportional to 11,420.55, 17,098 and 8,438.94

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Solution

The fourth proportional to 11,420.55, 17,098 and 8,438.94 is: 12,634.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.55 : 17,098 = 8,438.94 : x
  2. Step 2: Convert to fraction form
    11,420.55/17,098 = 8,438.94/x
  3. Step 3: Cross multiply
    11,420.55x = 17,098 × 8,438.94
  4. Step 4: Simplify right side
    11,420.55x = 144,288,996.12
  5. Step 5: Solve for x
    x = 144,288,996.12/11,420.55
  6. Step 6: Final answer
    x = 12,634.15

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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.