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Finding the Fourth Proportional to 8,349.80, 12,523.62 and 3,155

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Solution

The fourth proportional to 8,349.80, 12,523.62 and 3,155 is: 4,732.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349.80 : 12,523.62 = 3,155 : x
  2. Step 2: Convert to fraction form
    8,349.80/12,523.62 = 3,155/x
  3. Step 3: Cross multiply
    8,349.80x = 12,523.62 × 3,155
  4. Step 4: Simplify right side
    8,349.80x = 39,512,021.10
  5. Step 5: Solve for x
    x = 39,512,021.10/8,349.80
  6. Step 6: Final answer
    x = 4,732.09

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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.