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Finding the Fourth Proportional to 13,596.69, 18,772.16 and 12,177.88

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Solution

The fourth proportional to 13,596.69, 18,772.16 and 12,177.88 is: 16,813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,596.69 : 18,772.16 = 12,177.88 : x
  2. Step 2: Convert to fraction form
    13,596.69/18,772.16 = 12,177.88/x
  3. Step 3: Cross multiply
    13,596.69x = 18,772.16 × 12,177.88
  4. Step 4: Simplify right side
    13,596.69x = 228,605,004.00
  5. Step 5: Solve for x
    x = 228,605,004.00/13,596.69
  6. Step 6: Final answer
    x = 16,813.28

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1.5x scale

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.