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Finding the Fourth Proportional to 12,153.12, 16,771.92 and 7,436

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Solution

The fourth proportional to 12,153.12, 16,771.92 and 7,436 is: 10,262.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.12 : 16,771.92 = 7,436 : x
  2. Step 2: Convert to fraction form
    12,153.12/16,771.92 = 7,436/x
  3. Step 3: Cross multiply
    12,153.12x = 16,771.92 × 7,436
  4. Step 4: Simplify right side
    12,153.12x = 124,715,997.12
  5. Step 5: Solve for x
    x = 124,715,997.12/12,153.12
  6. Step 6: Final answer
    x = 10,262.06

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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.