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Finding the Fourth Proportional to 8,338.60, 12,509.94 and 5,878.22

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Solution

The fourth proportional to 8,338.60, 12,509.94 and 5,878.22 is: 8,818.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.60 : 12,509.94 = 5,878.22 : x
  2. Step 2: Convert to fraction form
    8,338.60/12,509.94 = 5,878.22/x
  3. Step 3: Cross multiply
    8,338.60x = 12,509.94 × 5,878.22
  4. Step 4: Simplify right side
    8,338.60x = 73,536,209.37
  5. Step 5: Solve for x
    x = 73,536,209.37/8,338.60
  6. Step 6: Final answer
    x = 8,818.78

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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.