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Finding the Fourth Proportional to 15,809.22, 21,820.92 and 9,837.48

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Solution

The fourth proportional to 15,809.22, 21,820.92 and 9,837.48 is: 13,578.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,809.22 : 21,820.92 = 9,837.48 : x
  2. Step 2: Convert to fraction form
    15,809.22/21,820.92 = 9,837.48/x
  3. Step 3: Cross multiply
    15,809.22x = 21,820.92 × 9,837.48
  4. Step 4: Simplify right side
    15,809.22x = 214,662,864.08
  5. Step 5: Solve for x
    x = 214,662,864.08/15,809.22
  6. Step 6: Final answer
    x = 13,578.33

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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.