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Finding the Fourth Proportional to 8,109.64, 12,138.02 and 4,402.67

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Solution

The fourth proportional to 8,109.64, 12,138.02 and 4,402.67 is: 6,589.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.64 : 12,138.02 = 4,402.67 : x
  2. Step 2: Convert to fraction form
    8,109.64/12,138.02 = 4,402.67/x
  3. Step 3: Cross multiply
    8,109.64x = 12,138.02 × 4,402.67
  4. Step 4: Simplify right side
    8,109.64x = 53,439,696.51
  5. Step 5: Solve for x
    x = 53,439,696.51/8,109.64
  6. Step 6: Final answer
    x = 6,589.65

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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.