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Finding the Fourth Proportional to 12,800.12, 17,664.54 and 7,494.44

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Solution

The fourth proportional to 12,800.12, 17,664.54 and 7,494.44 is: 10,342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.12 : 17,664.54 = 7,494.44 : x
  2. Step 2: Convert to fraction form
    12,800.12/17,664.54 = 7,494.44/x
  3. Step 3: Cross multiply
    12,800.12x = 17,664.54 × 7,494.44
  4. Step 4: Simplify right side
    12,800.12x = 132,385,835.16
  5. Step 5: Solve for x
    x = 132,385,835.16/12,800.12
  6. Step 6: Final answer
    x = 10,342.55

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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.