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Finding the Fourth Proportional to 8,132.50, 11,222.86 and 4,406.50

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Solution

The fourth proportional to 8,132.50, 11,222.86 and 4,406.50 is: 6,080.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.50 : 11,222.86 = 4,406.50 : x
  2. Step 2: Convert to fraction form
    8,132.50/11,222.86 = 4,406.50/x
  3. Step 3: Cross multiply
    8,132.50x = 11,222.86 × 4,406.50
  4. Step 4: Simplify right side
    8,132.50x = 49,453,532.59
  5. Step 5: Solve for x
    x = 49,453,532.59/8,132.50
  6. Step 6: Final answer
    x = 6,080.98

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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.