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Finding the Fourth Proportional to 27,850, 38,434.83 and 15,274.75

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Solution

The fourth proportional to 27,850, 38,434.83 and 15,274.75 is: 21,080.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,850 : 38,434.83 = 15,274.75 : x
  2. Step 2: Convert to fraction form
    27,850/38,434.83 = 15,274.75/x
  3. Step 3: Cross multiply
    27,850x = 38,434.83 × 15,274.75
  4. Step 4: Simplify right side
    27,850x = 587,082,343.17
  5. Step 5: Solve for x
    x = 587,082,343.17/27,850
  6. Step 6: Final answer
    x = 21,080.16

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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.