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Finding the Fourth Proportional to 11,173.80, 16,760.49 and 9,430

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Solution

The fourth proportional to 11,173.80, 16,760.49 and 9,430 is: 14,144.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,173.80 : 16,760.49 = 9,430 : x
  2. Step 2: Convert to fraction form
    11,173.80/16,760.49 = 9,430/x
  3. Step 3: Cross multiply
    11,173.80x = 16,760.49 × 9,430
  4. Step 4: Simplify right side
    11,173.80x = 158,051,420.70
  5. Step 5: Solve for x
    x = 158,051,420.70/11,173.80
  6. Step 6: Final answer
    x = 14,144.82

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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.