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Finding the Fourth Proportional to 8,119.69, 12,178.74 and 5,504

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Solution

The fourth proportional to 8,119.69, 12,178.74 and 5,504 is: 8,255.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.69 : 12,178.74 = 5,504 : x
  2. Step 2: Convert to fraction form
    8,119.69/12,178.74 = 5,504/x
  3. Step 3: Cross multiply
    8,119.69x = 12,178.74 × 5,504
  4. Step 4: Simplify right side
    8,119.69x = 67,031,784.96
  5. Step 5: Solve for x
    x = 67,031,784.96/8,119.69
  6. Step 6: Final answer
    x = 8,255.46

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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.