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Finding the Fourth Proportional to 13,466.97, 18,583.47 and 8,430.96

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Solution

The fourth proportional to 13,466.97, 18,583.47 and 8,430.96 is: 11,634.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.97 : 18,583.47 = 8,430.96 : x
  2. Step 2: Convert to fraction form
    13,466.97/18,583.47 = 8,430.96/x
  3. Step 3: Cross multiply
    13,466.97x = 18,583.47 × 8,430.96
  4. Step 4: Simplify right side
    13,466.97x = 156,676,492.23
  5. Step 5: Solve for x
    x = 156,676,492.23/13,466.97
  6. Step 6: Final answer
    x = 11,634.13

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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.