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Finding the Fourth Proportional to 11,172.84, 16,713.08 and 9,176

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Solution

The fourth proportional to 11,172.84, 16,713.08 and 9,176 is: 13,726.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,172.84 : 16,713.08 = 9,176 : x
  2. Step 2: Convert to fraction form
    11,172.84/16,713.08 = 9,176/x
  3. Step 3: Cross multiply
    11,172.84x = 16,713.08 × 9,176
  4. Step 4: Simplify right side
    11,172.84x = 153,359,222.08
  5. Step 5: Solve for x
    x = 153,359,222.08/11,172.84
  6. Step 6: Final answer
    x = 13,726.07

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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.