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Finding the Fourth Proportional to 12,405.26, 18,609.78 and 7,721.48

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Solution

The fourth proportional to 12,405.26, 18,609.78 and 7,721.48 is: 11,583.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.26 : 18,609.78 = 7,721.48 : x
  2. Step 2: Convert to fraction form
    12,405.26/18,609.78 = 7,721.48/x
  3. Step 3: Cross multiply
    12,405.26x = 18,609.78 × 7,721.48
  4. Step 4: Simplify right side
    12,405.26x = 143,695,044.07
  5. Step 5: Solve for x
    x = 143,695,044.07/12,405.26
  6. Step 6: Final answer
    x = 11,583.40

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1.5x scale

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.