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Finding the Fourth Proportional to 12,236.29, 16,885.49 and 6,931.13

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Solution

The fourth proportional to 12,236.29, 16,885.49 and 6,931.13 is: 9,564.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,236.29 : 16,885.49 = 6,931.13 : x
  2. Step 2: Convert to fraction form
    12,236.29/16,885.49 = 6,931.13/x
  3. Step 3: Cross multiply
    12,236.29x = 16,885.49 × 6,931.13
  4. Step 4: Simplify right side
    12,236.29x = 117,035,407.22
  5. Step 5: Solve for x
    x = 117,035,407.22/12,236.29
  6. Step 6: Final answer
    x = 9,564.62

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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.