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Finding the Fourth Proportional to 12,930.40, 17,852.40 and 9,940.72

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Solution

The fourth proportional to 12,930.40, 17,852.40 and 9,940.72 is: 13,724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,930.40 : 17,852.40 = 9,940.72 : x
  2. Step 2: Convert to fraction form
    12,930.40/17,852.40 = 9,940.72/x
  3. Step 3: Cross multiply
    12,930.40x = 17,852.40 × 9,940.72
  4. Step 4: Simplify right side
    12,930.40x = 177,465,709.73
  5. Step 5: Solve for x
    x = 177,465,709.73/12,930.40
  6. Step 6: Final answer
    x = 13,724.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.