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Finding the Fourth Proportional to 27,801, 38,365.38 and 15,226.20

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Solution

The fourth proportional to 27,801, 38,365.38 and 15,226.20 is: 21,012.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,801 : 38,365.38 = 15,226.20 : x
  2. Step 2: Convert to fraction form
    27,801/38,365.38 = 15,226.20/x
  3. Step 3: Cross multiply
    27,801x = 38,365.38 × 15,226.20
  4. Step 4: Simplify right side
    27,801x = 584,158,948.96
  5. Step 5: Solve for x
    x = 584,158,948.96/27,801
  6. Step 6: Final answer
    x = 21,012.16

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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.