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Finding the Fourth Proportional to 12,113.98, 16,717.53 and 6,809.14

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Solution

The fourth proportional to 12,113.98, 16,717.53 and 6,809.14 is: 9,396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,113.98 : 16,717.53 = 6,809.14 : x
  2. Step 2: Convert to fraction form
    12,113.98/16,717.53 = 6,809.14/x
  3. Step 3: Cross multiply
    12,113.98x = 16,717.53 × 6,809.14
  4. Step 4: Simplify right side
    12,113.98x = 113,832,002.22
  5. Step 5: Solve for x
    x = 113,832,002.22/12,113.98
  6. Step 6: Final answer
    x = 9,396.75

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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.