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Finding the Fourth Proportional to 8,130.66, 12,205.69 and 4,845.30

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Solution

The fourth proportional to 8,130.66, 12,205.69 and 4,845.30 is: 7,273.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.66 : 12,205.69 = 4,845.30 : x
  2. Step 2: Convert to fraction form
    8,130.66/12,205.69 = 4,845.30/x
  3. Step 3: Cross multiply
    8,130.66x = 12,205.69 × 4,845.30
  4. Step 4: Simplify right side
    8,130.66x = 59,140,229.76
  5. Step 5: Solve for x
    x = 59,140,229.76/8,130.66
  6. Step 6: Final answer
    x = 7,273.73

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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.