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Finding the Fourth Proportional to 27,904.64, 41,856.96 and 7,128.14

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Solution

The fourth proportional to 27,904.64, 41,856.96 and 7,128.14 is: 10,692.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,904.64 : 41,856.96 = 7,128.14 : x
  2. Step 2: Convert to fraction form
    27,904.64/41,856.96 = 7,128.14/x
  3. Step 3: Cross multiply
    27,904.64x = 41,856.96 × 7,128.14
  4. Step 4: Simplify right side
    27,904.64x = 298,362,270.85
  5. Step 5: Solve for x
    x = 298,362,270.85/27,904.64
  6. Step 6: Final answer
    x = 10,692.21

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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.