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Finding the Fourth Proportional to 15,920, 21,971.63 and 9,632.42

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Solution

The fourth proportional to 15,920, 21,971.63 and 9,632.42 is: 13,293.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920 : 21,971.63 = 9,632.42 : x
  2. Step 2: Convert to fraction form
    15,920/21,971.63 = 9,632.42/x
  3. Step 3: Cross multiply
    15,920x = 21,971.63 × 9,632.42
  4. Step 4: Simplify right side
    15,920x = 211,639,968.24
  5. Step 5: Solve for x
    x = 211,639,968.24/15,920
  6. Step 6: Final answer
    x = 13,293.97

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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.