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Finding the Fourth Proportional to 13,692.27, 18,894.92 and 7,642.68

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Solution

The fourth proportional to 13,692.27, 18,894.92 and 7,642.68 is: 10,546.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.27 : 18,894.92 = 7,642.68 : x
  2. Step 2: Convert to fraction form
    13,692.27/18,894.92 = 7,642.68/x
  3. Step 3: Cross multiply
    13,692.27x = 18,894.92 × 7,642.68
  4. Step 4: Simplify right side
    13,692.27x = 144,407,827.19
  5. Step 5: Solve for x
    x = 144,407,827.19/13,692.27
  6. Step 6: Final answer
    x = 10,546.67

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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.