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Finding the Fourth Proportional to 27,892, 38,490.96 and 15,317.56

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Solution

The fourth proportional to 27,892, 38,490.96 and 15,317.56 is: 21,138.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,892 : 38,490.96 = 15,317.56 : x
  2. Step 2: Convert to fraction form
    27,892/38,490.96 = 15,317.56/x
  3. Step 3: Cross multiply
    27,892x = 38,490.96 × 15,317.56
  4. Step 4: Simplify right side
    27,892x = 589,587,589.26
  5. Step 5: Solve for x
    x = 589,587,589.26/27,892
  6. Step 6: Final answer
    x = 21,138.23

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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.