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Finding the Fourth Proportional to 8,965.28, 13,420.20 and 8,199.84

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Solution

The fourth proportional to 8,965.28, 13,420.20 and 8,199.84 is: 12,274.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.28 : 13,420.20 = 8,199.84 : x
  2. Step 2: Convert to fraction form
    8,965.28/13,420.20 = 8,199.84/x
  3. Step 3: Cross multiply
    8,965.28x = 13,420.20 × 8,199.84
  4. Step 4: Simplify right side
    8,965.28x = 110,043,492.77
  5. Step 5: Solve for x
    x = 110,043,492.77/8,965.28
  6. Step 6: Final answer
    x = 12,274.41

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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.