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Finding the Fourth Proportional to 25,286.40, 37,931.40 and 7,756.20

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Solution

The fourth proportional to 25,286.40, 37,931.40 and 7,756.20 is: 11,634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,286.40 : 37,931.40 = 7,756.20 : x
  2. Step 2: Convert to fraction form
    25,286.40/37,931.40 = 7,756.20/x
  3. Step 3: Cross multiply
    25,286.40x = 37,931.40 × 7,756.20
  4. Step 4: Simplify right side
    25,286.40x = 294,203,524.68
  5. Step 5: Solve for x
    x = 294,203,524.68/25,286.40
  6. Step 6: Final answer
    x = 11,634.85

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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.