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Finding the Fourth Proportional to 20,319.78, 30,478.77 and 7,837.50

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Solution

The fourth proportional to 20,319.78, 30,478.77 and 7,837.50 is: 11,755.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,319.78 : 30,478.77 = 7,837.50 : x
  2. Step 2: Convert to fraction form
    20,319.78/30,478.77 = 7,837.50/x
  3. Step 3: Cross multiply
    20,319.78x = 30,478.77 × 7,837.50
  4. Step 4: Simplify right side
    20,319.78x = 238,877,359.88
  5. Step 5: Solve for x
    x = 238,877,359.88/20,319.78
  6. Step 6: Final answer
    x = 11,755.90

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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.