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Finding the Fourth Proportional to 27,201.80, 37,543.22 and 15,878

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Solution

The fourth proportional to 27,201.80, 37,543.22 and 15,878 is: 21,914.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,201.80 : 37,543.22 = 15,878 : x
  2. Step 2: Convert to fraction form
    27,201.80/37,543.22 = 15,878/x
  3. Step 3: Cross multiply
    27,201.80x = 37,543.22 × 15,878
  4. Step 4: Simplify right side
    27,201.80x = 596,111,247.16
  5. Step 5: Solve for x
    x = 596,111,247.16/27,201.80
  6. Step 6: Final answer
    x = 21,914.40

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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.