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Finding the Fourth Proportional to 7,887, 11,830.50 and 3,209.55

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Solution

The fourth proportional to 7,887, 11,830.50 and 3,209.55 is: 4,814.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887 : 11,830.50 = 3,209.55 : x
  2. Step 2: Convert to fraction form
    7,887/11,830.50 = 3,209.55/x
  3. Step 3: Cross multiply
    7,887x = 11,830.50 × 3,209.55
  4. Step 4: Simplify right side
    7,887x = 37,970,581.28
  5. Step 5: Solve for x
    x = 37,970,581.28/7,887
  6. Step 6: Final answer
    x = 4,814.33

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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.