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Finding the Fourth Proportional to 25,693.75, 38,540.64 and 7,225.75

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Solution

The fourth proportional to 25,693.75, 38,540.64 and 7,225.75 is: 10,838.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,693.75 : 38,540.64 = 7,225.75 : x
  2. Step 2: Convert to fraction form
    25,693.75/38,540.64 = 7,225.75/x
  3. Step 3: Cross multiply
    25,693.75x = 38,540.64 × 7,225.75
  4. Step 4: Simplify right side
    25,693.75x = 278,485,029.48
  5. Step 5: Solve for x
    x = 278,485,029.48/25,693.75
  6. Step 6: Final answer
    x = 10,838.63

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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.