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Finding the Fourth Proportional to 35,878, 53,825.64 and 11,254

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Solution

The fourth proportional to 35,878, 53,825.64 and 11,254 is: 16,883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,878 : 53,825.64 = 11,254 : x
  2. Step 2: Convert to fraction form
    35,878/53,825.64 = 11,254/x
  3. Step 3: Cross multiply
    35,878x = 53,825.64 × 11,254
  4. Step 4: Simplify right side
    35,878x = 605,753,752.56
  5. Step 5: Solve for x
    x = 605,753,752.56/35,878
  6. Step 6: Final answer
    x = 16,883.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.