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Finding the Fourth Proportional to 27,343, 37,729.24 and 15,406.08

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Solution

The fourth proportional to 27,343, 37,729.24 and 15,406.08 is: 21,258.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,343 : 37,729.24 = 15,406.08 : x
  2. Step 2: Convert to fraction form
    27,343/37,729.24 = 15,406.08/x
  3. Step 3: Cross multiply
    27,343x = 37,729.24 × 15,406.08
  4. Step 4: Simplify right side
    27,343x = 581,259,689.78
  5. Step 5: Solve for x
    x = 581,259,689.78/27,343
  6. Step 6: Final answer
    x = 21,258.08

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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.