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Finding the Fourth Proportional to 12,238.11, 16,888.25 and 6,934.64

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Solution

The fourth proportional to 12,238.11, 16,888.25 and 6,934.64 is: 9,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.11 : 16,888.25 = 6,934.64 : x
  2. Step 2: Convert to fraction form
    12,238.11/16,888.25 = 6,934.64/x
  3. Step 3: Cross multiply
    12,238.11x = 16,888.25 × 6,934.64
  4. Step 4: Simplify right side
    12,238.11x = 117,113,866.88
  5. Step 5: Solve for x
    x = 117,113,866.88/12,238.11
  6. Step 6: Final answer
    x = 9,569.60

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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.