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Finding the Fourth Proportional to 25,251.72, 37,876.16 and 7,720.16

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Solution

The fourth proportional to 25,251.72, 37,876.16 and 7,720.16 is: 11,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,251.72 : 37,876.16 = 7,720.16 : x
  2. Step 2: Convert to fraction form
    25,251.72/37,876.16 = 7,720.16/x
  3. Step 3: Cross multiply
    25,251.72x = 37,876.16 × 7,720.16
  4. Step 4: Simplify right side
    25,251.72x = 292,410,015.39
  5. Step 5: Solve for x
    x = 292,410,015.39/25,251.72
  6. Step 6: Final answer
    x = 11,579.81

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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.