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Finding the Fourth Proportional to 15,906.18, 21,935.43 and 9,531.84

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Solution

The fourth proportional to 15,906.18, 21,935.43 and 9,531.84 is: 13,144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906.18 : 21,935.43 = 9,531.84 : x
  2. Step 2: Convert to fraction form
    15,906.18/21,935.43 = 9,531.84/x
  3. Step 3: Cross multiply
    15,906.18x = 21,935.43 × 9,531.84
  4. Step 4: Simplify right side
    15,906.18x = 209,085,009.09
  5. Step 5: Solve for x
    x = 209,085,009.09/15,906.18
  6. Step 6: Final answer
    x = 13,144.89

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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.