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Finding the Fourth Proportional to 7,884.45, 11,826.68 and 6,426.45

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Solution

The fourth proportional to 7,884.45, 11,826.68 and 6,426.45 is: 9,639.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.45 : 11,826.68 = 6,426.45 : x
  2. Step 2: Convert to fraction form
    7,884.45/11,826.68 = 6,426.45/x
  3. Step 3: Cross multiply
    7,884.45x = 11,826.68 × 6,426.45
  4. Step 4: Simplify right side
    7,884.45x = 76,003,535.55
  5. Step 5: Solve for x
    x = 76,003,535.55/7,884.45
  6. Step 6: Final answer
    x = 9,639.68

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Similar ratio
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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.