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Finding the Fourth Proportional to 13,794.76, 20,692.14 and 3,406.51

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Solution

The fourth proportional to 13,794.76, 20,692.14 and 3,406.51 is: 5,109.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.76 : 20,692.14 = 3,406.51 : x
  2. Step 2: Convert to fraction form
    13,794.76/20,692.14 = 3,406.51/x
  3. Step 3: Cross multiply
    13,794.76x = 20,692.14 × 3,406.51
  4. Step 4: Simplify right side
    13,794.76x = 70,487,981.83
  5. Step 5: Solve for x
    x = 70,487,981.83/13,794.76
  6. Step 6: Final answer
    x = 5,109.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.