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Finding the Fourth Proportional to 12,434.10, 18,625.22 and 5,513.46

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Solution

The fourth proportional to 12,434.10, 18,625.22 and 5,513.46 is: 8,258.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.10 : 18,625.22 = 5,513.46 : x
  2. Step 2: Convert to fraction form
    12,434.10/18,625.22 = 5,513.46/x
  3. Step 3: Cross multiply
    12,434.10x = 18,625.22 × 5,513.46
  4. Step 4: Simplify right side
    12,434.10x = 102,689,405.46
  5. Step 5: Solve for x
    x = 102,689,405.46/12,434.10
  6. Step 6: Final answer
    x = 8,258.69

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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.