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Finding the Fourth Proportional to 27,812.64, 38,379.84 and 16,483.20

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Solution

The fourth proportional to 27,812.64, 38,379.84 and 16,483.20 is: 22,745.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,812.64 : 38,379.84 = 16,483.20 : x
  2. Step 2: Convert to fraction form
    27,812.64/38,379.84 = 16,483.20/x
  3. Step 3: Cross multiply
    27,812.64x = 38,379.84 × 16,483.20
  4. Step 4: Simplify right side
    27,812.64x = 632,622,578.69
  5. Step 5: Solve for x
    x = 632,622,578.69/27,812.64
  6. Step 6: Final answer
    x = 22,745.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.