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Finding the Fourth Proportional to 30,728.40, 46,027.80 and 27,445.20

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Solution

The fourth proportional to 30,728.40, 46,027.80 and 27,445.20 is: 41,109.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,728.40 : 46,027.80 = 27,445.20 : x
  2. Step 2: Convert to fraction form
    30,728.40/46,027.80 = 27,445.20/x
  3. Step 3: Cross multiply
    30,728.40x = 46,027.80 × 27,445.20
  4. Step 4: Simplify right side
    30,728.40x = 1,263,242,176.56
  5. Step 5: Solve for x
    x = 1,263,242,176.56/30,728.40
  6. Step 6: Final answer
    x = 41,109.92

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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.