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Finding the Fourth Proportional to 27,322, 40,987.12 and 9,787.66

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Solution

The fourth proportional to 27,322, 40,987.12 and 9,787.66 is: 14,682.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,322 : 40,987.12 = 9,787.66 : x
  2. Step 2: Convert to fraction form
    27,322/40,987.12 = 9,787.66/x
  3. Step 3: Cross multiply
    27,322x = 40,987.12 × 9,787.66
  4. Step 4: Simplify right side
    27,322x = 401,167,994.94
  5. Step 5: Solve for x
    x = 401,167,994.94/27,322
  6. Step 6: Final answer
    x = 14,682.97

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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.