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Finding the Fourth Proportional to 27,654.72, 41,482 and 6,878.20

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Solution

The fourth proportional to 27,654.72, 41,482 and 6,878.20 is: 10,317.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,654.72 : 41,482 = 6,878.20 : x
  2. Step 2: Convert to fraction form
    27,654.72/41,482 = 6,878.20/x
  3. Step 3: Cross multiply
    27,654.72x = 41,482 × 6,878.20
  4. Step 4: Simplify right side
    27,654.72x = 285,321,492.40
  5. Step 5: Solve for x
    x = 285,321,492.40/27,654.72
  6. Step 6: Final answer
    x = 10,317.28

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1.5x scale

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.