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Finding the Fourth Proportional to 12,307.83, 16,982.05 and 7,268.61

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Solution

The fourth proportional to 12,307.83, 16,982.05 and 7,268.61 is: 10,029.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.83 : 16,982.05 = 7,268.61 : x
  2. Step 2: Convert to fraction form
    12,307.83/16,982.05 = 7,268.61/x
  3. Step 3: Cross multiply
    12,307.83x = 16,982.05 × 7,268.61
  4. Step 4: Simplify right side
    12,307.83x = 123,435,898.45
  5. Step 5: Solve for x
    x = 123,435,898.45/12,307.83
  6. Step 6: Final answer
    x = 10,029.05

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