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Finding the Fourth Proportional to 25,778, 35,590.80 and 19,799

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Solution

The fourth proportional to 25,778, 35,590.80 and 19,799 is: 27,335.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,778 : 35,590.80 = 19,799 : x
  2. Step 2: Convert to fraction form
    25,778/35,590.80 = 19,799/x
  3. Step 3: Cross multiply
    25,778x = 35,590.80 × 19,799
  4. Step 4: Simplify right side
    25,778x = 704,662,249.20
  5. Step 5: Solve for x
    x = 704,662,249.20/25,778
  6. Step 6: Final answer
    x = 27,335.80

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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.