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Finding the Fourth Proportional to 8,205.73, 12,309.24 and 4,043.47

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Solution

The fourth proportional to 8,205.73, 12,309.24 and 4,043.47 is: 6,065.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.73 : 12,309.24 = 4,043.47 : x
  2. Step 2: Convert to fraction form
    8,205.73/12,309.24 = 4,043.47/x
  3. Step 3: Cross multiply
    8,205.73x = 12,309.24 × 4,043.47
  4. Step 4: Simplify right side
    8,205.73x = 49,772,038.76
  5. Step 5: Solve for x
    x = 49,772,038.76/8,205.73
  6. Step 6: Final answer
    x = 6,065.52

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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.