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Finding the Fourth Proportional to 25,470.32, 38,205.12 and 7,940.32

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Solution

The fourth proportional to 25,470.32, 38,205.12 and 7,940.32 is: 11,910.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,470.32 : 38,205.12 = 7,940.32 : x
  2. Step 2: Convert to fraction form
    25,470.32/38,205.12 = 7,940.32/x
  3. Step 3: Cross multiply
    25,470.32x = 38,205.12 × 7,940.32
  4. Step 4: Simplify right side
    25,470.32x = 303,360,878.44
  5. Step 5: Solve for x
    x = 303,360,878.44/25,470.32
  6. Step 6: Final answer
    x = 11,910.37

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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.