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Finding the Fourth Proportional to 25,307.20, 37,960.75 and 6,839.20

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Solution

The fourth proportional to 25,307.20, 37,960.75 and 6,839.20 is: 10,258.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,307.20 : 37,960.75 = 6,839.20 : x
  2. Step 2: Convert to fraction form
    25,307.20/37,960.75 = 6,839.20/x
  3. Step 3: Cross multiply
    25,307.20x = 37,960.75 × 6,839.20
  4. Step 4: Simplify right side
    25,307.20x = 259,621,161.40
  5. Step 5: Solve for x
    x = 259,621,161.40/25,307.20
  6. Step 6: Final answer
    x = 10,258.79

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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.