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Finding the Fourth Proportional to 20,004.78, 30,006.78 and 5,213.40

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Solution

The fourth proportional to 20,004.78, 30,006.78 and 5,213.40 is: 7,820.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,004.78 : 30,006.78 = 5,213.40 : x
  2. Step 2: Convert to fraction form
    20,004.78/30,006.78 = 5,213.40/x
  3. Step 3: Cross multiply
    20,004.78x = 30,006.78 × 5,213.40
  4. Step 4: Simplify right side
    20,004.78x = 156,437,346.85
  5. Step 5: Solve for x
    x = 156,437,346.85/20,004.78
  6. Step 6: Final answer
    x = 7,820.00

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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.