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Finding the Fourth Proportional to 13,380.67, 18,464.60 and 7,411.98

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Solution

The fourth proportional to 13,380.67, 18,464.60 and 7,411.98 is: 10,228.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.67 : 18,464.60 = 7,411.98 : x
  2. Step 2: Convert to fraction form
    13,380.67/18,464.60 = 7,411.98/x
  3. Step 3: Cross multiply
    13,380.67x = 18,464.60 × 7,411.98
  4. Step 4: Simplify right side
    13,380.67x = 136,859,208.85
  5. Step 5: Solve for x
    x = 136,859,208.85/13,380.67
  6. Step 6: Final answer
    x = 10,228.13

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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.