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Finding the Fourth Proportional to 7,123.61, 10,684.26 and 2,443.43

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Solution

The fourth proportional to 7,123.61, 10,684.26 and 2,443.43 is: 3,664.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.61 : 10,684.26 = 2,443.43 : x
  2. Step 2: Convert to fraction form
    7,123.61/10,684.26 = 2,443.43/x
  3. Step 3: Cross multiply
    7,123.61x = 10,684.26 × 2,443.43
  4. Step 4: Simplify right side
    7,123.61x = 26,106,241.41
  5. Step 5: Solve for x
    x = 26,106,241.41/7,123.61
  6. Step 6: Final answer
    x = 3,664.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.