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Finding the Fourth Proportional to 25,311.96, 37,972.26 and 7,781.40

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Solution

The fourth proportional to 25,311.96, 37,972.26 and 7,781.40 is: 11,673.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,311.96 : 37,972.26 = 7,781.40 : x
  2. Step 2: Convert to fraction form
    25,311.96/37,972.26 = 7,781.40/x
  3. Step 3: Cross multiply
    25,311.96x = 37,972.26 × 7,781.40
  4. Step 4: Simplify right side
    25,311.96x = 295,477,343.96
  5. Step 5: Solve for x
    x = 295,477,343.96/25,311.96
  6. Step 6: Final answer
    x = 11,673.43

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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.