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Finding the Fourth Proportional to 38,718, 53,422.61 and 22,796.64

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Solution

The fourth proportional to 38,718, 53,422.61 and 22,796.64 is: 31,454.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,718 : 53,422.61 = 22,796.64 : x
  2. Step 2: Convert to fraction form
    38,718/53,422.61 = 22,796.64/x
  3. Step 3: Cross multiply
    38,718x = 53,422.61 × 22,796.64
  4. Step 4: Simplify right side
    38,718x = 1,217,855,894.05
  5. Step 5: Solve for x
    x = 1,217,855,894.05/38,718
  6. Step 6: Final answer
    x = 31,454.51

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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.