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Finding the Fourth Proportional to 12,957.90, 19,405.26 and 7,394.43

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Solution

The fourth proportional to 12,957.90, 19,405.26 and 7,394.43 is: 11,073.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957.90 : 19,405.26 = 7,394.43 : x
  2. Step 2: Convert to fraction form
    12,957.90/19,405.26 = 7,394.43/x
  3. Step 3: Cross multiply
    12,957.90x = 19,405.26 × 7,394.43
  4. Step 4: Simplify right side
    12,957.90x = 143,490,836.70
  5. Step 5: Solve for x
    x = 143,490,836.70/12,957.90
  6. Step 6: Final answer
    x = 11,073.62

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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.