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Finding the Fourth Proportional to 13,692.64, 18,902.64 and 8,661.28

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Solution

The fourth proportional to 13,692.64, 18,902.64 and 8,661.28 is: 11,956.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.64 : 18,902.64 = 8,661.28 : x
  2. Step 2: Convert to fraction form
    13,692.64/18,902.64 = 8,661.28/x
  3. Step 3: Cross multiply
    13,692.64x = 18,902.64 × 8,661.28
  4. Step 4: Simplify right side
    13,692.64x = 163,721,057.78
  5. Step 5: Solve for x
    x = 163,721,057.78/13,692.64
  6. Step 6: Final answer
    x = 11,956.87

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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.