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Finding the Fourth Proportional to 12,696.62, 19,046.74 and 4,374.40

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Solution

The fourth proportional to 12,696.62, 19,046.74 and 4,374.40 is: 6,562.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.62 : 19,046.74 = 4,374.40 : x
  2. Step 2: Convert to fraction form
    12,696.62/19,046.74 = 4,374.40/x
  3. Step 3: Cross multiply
    12,696.62x = 19,046.74 × 4,374.40
  4. Step 4: Simplify right side
    12,696.62x = 83,318,059.46
  5. Step 5: Solve for x
    x = 83,318,059.46/12,696.62
  6. Step 6: Final answer
    x = 6,562.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.