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Finding the Fourth Proportional to 27,648.40, 41,472.60 and 9,180.40

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Solution

The fourth proportional to 27,648.40, 41,472.60 and 9,180.40 is: 13,770.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,648.40 : 41,472.60 = 9,180.40 : x
  2. Step 2: Convert to fraction form
    27,648.40/41,472.60 = 9,180.40/x
  3. Step 3: Cross multiply
    27,648.40x = 41,472.60 × 9,180.40
  4. Step 4: Simplify right side
    27,648.40x = 380,735,057.04
  5. Step 5: Solve for x
    x = 380,735,057.04/27,648.40
  6. Step 6: Final answer
    x = 13,770.60

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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.