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Finding the Fourth Proportional to 13,214.63, 18,237 and 7,625.63

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Solution

The fourth proportional to 13,214.63, 18,237 and 7,625.63 is: 10,523.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.63 : 18,237 = 7,625.63 : x
  2. Step 2: Convert to fraction form
    13,214.63/18,237 = 7,625.63/x
  3. Step 3: Cross multiply
    13,214.63x = 18,237 × 7,625.63
  4. Step 4: Simplify right side
    13,214.63x = 139,068,523.13
  5. Step 5: Solve for x
    x = 139,068,523.13/13,214.63
  6. Step 6: Final answer
    x = 10,523.83

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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.