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Finding the Fourth Proportional to 27,181, 37,509.85 and 15,858.28

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Solution

The fourth proportional to 27,181, 37,509.85 and 15,858.28 is: 21,884.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,181 : 37,509.85 = 15,858.28 : x
  2. Step 2: Convert to fraction form
    27,181/37,509.85 = 15,858.28/x
  3. Step 3: Cross multiply
    27,181x = 37,509.85 × 15,858.28
  4. Step 4: Simplify right side
    27,181x = 594,841,704.06
  5. Step 5: Solve for x
    x = 594,841,704.06/27,181
  6. Step 6: Final answer
    x = 21,884.47

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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.