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Finding the Fourth Proportional to 11,605.43, 15,953.91 and 9,984.43

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Solution

The fourth proportional to 11,605.43, 15,953.91 and 9,984.43 is: 13,725.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.43 : 15,953.91 = 9,984.43 : x
  2. Step 2: Convert to fraction form
    11,605.43/15,953.91 = 9,984.43/x
  3. Step 3: Cross multiply
    11,605.43x = 15,953.91 × 9,984.43
  4. Step 4: Simplify right side
    11,605.43x = 159,290,665.26
  5. Step 5: Solve for x
    x = 159,290,665.26/11,605.43
  6. Step 6: Final answer
    x = 13,725.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.