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Finding the Fourth Proportional to 27,758.40, 41,648.40 and 12,165.04

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Solution

The fourth proportional to 27,758.40, 41,648.40 and 12,165.04 is: 18,252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,758.40 : 41,648.40 = 12,165.04 : x
  2. Step 2: Convert to fraction form
    27,758.40/41,648.40 = 12,165.04/x
  3. Step 3: Cross multiply
    27,758.40x = 41,648.40 × 12,165.04
  4. Step 4: Simplify right side
    27,758.40x = 506,654,451.94
  5. Step 5: Solve for x
    x = 506,654,451.94/27,758.40
  6. Step 6: Final answer
    x = 18,252.29

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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.