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Finding the Fourth Proportional to 13,434.57, 18,539.49 and 7,466.22

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Solution

The fourth proportional to 13,434.57, 18,539.49 and 7,466.22 is: 10,303.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,434.57 : 18,539.49 = 7,466.22 : x
  2. Step 2: Convert to fraction form
    13,434.57/18,539.49 = 7,466.22/x
  3. Step 3: Cross multiply
    13,434.57x = 18,539.49 × 7,466.22
  4. Step 4: Simplify right side
    13,434.57x = 138,419,911.03
  5. Step 5: Solve for x
    x = 138,419,911.03/13,434.57
  6. Step 6: Final answer
    x = 10,303.26

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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.