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Finding the Fourth Proportional to 27,857.60, 38,446.89 and 15,918.20

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Solution

The fourth proportional to 27,857.60, 38,446.89 and 15,918.20 is: 21,969.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,857.60 : 38,446.89 = 15,918.20 : x
  2. Step 2: Convert to fraction form
    27,857.60/38,446.89 = 15,918.20/x
  3. Step 3: Cross multiply
    27,857.60x = 38,446.89 × 15,918.20
  4. Step 4: Simplify right side
    27,857.60x = 612,005,284.40
  5. Step 5: Solve for x
    x = 612,005,284.40/27,857.60
  6. Step 6: Final answer
    x = 21,969.06

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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.