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Finding the Fourth Proportional to 27,878.32, 41,808.84 and 9,406

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Solution

The fourth proportional to 27,878.32, 41,808.84 and 9,406 is: 14,106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878.32 : 41,808.84 = 9,406 : x
  2. Step 2: Convert to fraction form
    27,878.32/41,808.84 = 9,406/x
  3. Step 3: Cross multiply
    27,878.32x = 41,808.84 × 9,406
  4. Step 4: Simplify right side
    27,878.32x = 393,253,949.04
  5. Step 5: Solve for x
    x = 393,253,949.04/27,878.32
  6. Step 6: Final answer
    x = 14,106.08

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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.