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Finding the Fourth Proportional to 8,119.58, 12,178.32 and 2,573.48

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Solution

The fourth proportional to 8,119.58, 12,178.32 and 2,573.48 is: 3,859.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.58 : 12,178.32 = 2,573.48 : x
  2. Step 2: Convert to fraction form
    8,119.58/12,178.32 = 2,573.48/x
  3. Step 3: Cross multiply
    8,119.58x = 12,178.32 × 2,573.48
  4. Step 4: Simplify right side
    8,119.58x = 31,340,602.06
  5. Step 5: Solve for x
    x = 31,340,602.06/8,119.58
  6. Step 6: Final answer
    x = 3,859.88

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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.