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Finding the Fourth Proportional to 20,928.78, 31,392.36 and 7,077.78

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Solution

The fourth proportional to 20,928.78, 31,392.36 and 7,077.78 is: 10,616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,928.78 : 31,392.36 = 7,077.78 : x
  2. Step 2: Convert to fraction form
    20,928.78/31,392.36 = 7,077.78/x
  3. Step 3: Cross multiply
    20,928.78x = 31,392.36 × 7,077.78
  4. Step 4: Simplify right side
    20,928.78x = 222,188,217.76
  5. Step 5: Solve for x
    x = 222,188,217.76/20,928.78
  6. Step 6: Final answer
    x = 10,616.40

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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.