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Finding the Fourth Proportional to 8,172.50, 11,279.01 and 4,860.50

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Solution

The fourth proportional to 8,172.50, 11,279.01 and 4,860.50 is: 6,708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.50 : 11,279.01 = 4,860.50 : x
  2. Step 2: Convert to fraction form
    8,172.50/11,279.01 = 4,860.50/x
  3. Step 3: Cross multiply
    8,172.50x = 11,279.01 × 4,860.50
  4. Step 4: Simplify right side
    8,172.50x = 54,821,628.11
  5. Step 5: Solve for x
    x = 54,821,628.11/8,172.50
  6. Step 6: Final answer
    x = 6,708.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.