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Finding the Fourth Proportional to 27,827.70, 41,745.60 and 9,103.20

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Solution

The fourth proportional to 27,827.70, 41,745.60 and 9,103.20 is: 13,656.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,827.70 : 41,745.60 = 9,103.20 : x
  2. Step 2: Convert to fraction form
    27,827.70/41,745.60 = 9,103.20/x
  3. Step 3: Cross multiply
    27,827.70x = 41,745.60 × 9,103.20
  4. Step 4: Simplify right side
    27,827.70x = 380,018,545.92
  5. Step 5: Solve for x
    x = 380,018,545.92/27,827.70
  6. Step 6: Final answer
    x = 13,656.12

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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.