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Finding the Fourth Proportional to 12,374.70, 18,538.11 and 7,696.58

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Solution

The fourth proportional to 12,374.70, 18,538.11 and 7,696.58 is: 11,529.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.70 : 18,538.11 = 7,696.58 : x
  2. Step 2: Convert to fraction form
    12,374.70/18,538.11 = 7,696.58/x
  3. Step 3: Cross multiply
    12,374.70x = 18,538.11 × 7,696.58
  4. Step 4: Simplify right side
    12,374.70x = 142,679,953.97
  5. Step 5: Solve for x
    x = 142,679,953.97/12,374.70
  6. Step 6: Final answer
    x = 11,529.98

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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.