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Finding the Fourth Proportional to 25,251.42, 37,884 and 7,720.86

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Solution

The fourth proportional to 25,251.42, 37,884 and 7,720.86 is: 11,583.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,251.42 : 37,884 = 7,720.86 : x
  2. Step 2: Convert to fraction form
    25,251.42/37,884 = 7,720.86/x
  3. Step 3: Cross multiply
    25,251.42x = 37,884 × 7,720.86
  4. Step 4: Simplify right side
    25,251.42x = 292,497,060.24
  5. Step 5: Solve for x
    x = 292,497,060.24/25,251.42
  6. Step 6: Final answer
    x = 11,583.39

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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.