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Finding the Fourth Proportional to 12,696.81, 17,527.58 and 8,454.93

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Solution

The fourth proportional to 12,696.81, 17,527.58 and 8,454.93 is: 11,671.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.81 : 17,527.58 = 8,454.93 : x
  2. Step 2: Convert to fraction form
    12,696.81/17,527.58 = 8,454.93/x
  3. Step 3: Cross multiply
    12,696.81x = 17,527.58 × 8,454.93
  4. Step 4: Simplify right side
    12,696.81x = 148,194,461.97
  5. Step 5: Solve for x
    x = 148,194,461.97/12,696.81
  6. Step 6: Final answer
    x = 11,671.79

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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.