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Finding the Fourth Proportional to 12,156.38, 16,783.55 and 9,923.57

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Solution

The fourth proportional to 12,156.38, 16,783.55 and 9,923.57 is: 13,700.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156.38 : 16,783.55 = 9,923.57 : x
  2. Step 2: Convert to fraction form
    12,156.38/16,783.55 = 9,923.57/x
  3. Step 3: Cross multiply
    12,156.38x = 16,783.55 × 9,923.57
  4. Step 4: Simplify right side
    12,156.38x = 166,552,733.27
  5. Step 5: Solve for x
    x = 166,552,733.27/12,156.38
  6. Step 6: Final answer
    x = 13,700.85

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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.