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Finding the Fourth Proportional to 12,156.72, 16,756.08 and 9,634.38

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Solution

The fourth proportional to 12,156.72, 16,756.08 and 9,634.38 is: 13,279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156.72 : 16,756.08 = 9,634.38 : x
  2. Step 2: Convert to fraction form
    12,156.72/16,756.08 = 9,634.38/x
  3. Step 3: Cross multiply
    12,156.72x = 16,756.08 × 9,634.38
  4. Step 4: Simplify right side
    12,156.72x = 161,434,442.03
  5. Step 5: Solve for x
    x = 161,434,442.03/12,156.72
  6. Step 6: Final answer
    x = 13,279.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.