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Finding the Fourth Proportional to 25,138.55, 37,712.45 and 8,272.50

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Solution

The fourth proportional to 25,138.55, 37,712.45 and 8,272.50 is: 12,410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,138.55 : 37,712.45 = 8,272.50 : x
  2. Step 2: Convert to fraction form
    25,138.55/37,712.45 = 8,272.50/x
  3. Step 3: Cross multiply
    25,138.55x = 37,712.45 × 8,272.50
  4. Step 4: Simplify right side
    25,138.55x = 311,976,090.86
  5. Step 5: Solve for x
    x = 311,976,090.86/25,138.55
  6. Step 6: Final answer
    x = 12,410.27

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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.