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Finding the Fourth Proportional to 11,441.20, 15,978.80 and 11,441.20

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Solution

The fourth proportional to 11,441.20, 15,978.80 and 11,441.20 is: 15,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,441.20 : 15,978.80 = 11,441.20 : x
  2. Step 2: Convert to fraction form
    11,441.20/15,978.80 = 11,441.20/x
  3. Step 3: Cross multiply
    11,441.20x = 15,978.80 × 11,441.20
  4. Step 4: Simplify right side
    11,441.20x = 182,816,646.56
  5. Step 5: Solve for x
    x = 182,816,646.56/11,441.20
  6. Step 6: Final answer
    x = 15,978.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.