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Finding the Fourth Proportional to 25,317.42, 37,972.86 and 7,786.86

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Solution

The fourth proportional to 25,317.42, 37,972.86 and 7,786.86 is: 11,679.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,317.42 : 37,972.86 = 7,786.86 : x
  2. Step 2: Convert to fraction form
    25,317.42/37,972.86 = 7,786.86/x
  3. Step 3: Cross multiply
    25,317.42x = 37,972.86 × 7,786.86
  4. Step 4: Simplify right side
    25,317.42x = 295,689,344.62
  5. Step 5: Solve for x
    x = 295,689,344.62/25,317.42
  6. Step 6: Final answer
    x = 11,679.28

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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.