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Finding the Fourth Proportional to 20,483.60, 30,719.40 and 8,000.78

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Solution

The fourth proportional to 20,483.60, 30,719.40 and 8,000.78 is: 11,998.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,483.60 : 30,719.40 = 8,000.78 : x
  2. Step 2: Convert to fraction form
    20,483.60/30,719.40 = 8,000.78/x
  3. Step 3: Cross multiply
    20,483.60x = 30,719.40 × 8,000.78
  4. Step 4: Simplify right side
    20,483.60x = 245,779,161.13
  5. Step 5: Solve for x
    x = 245,779,161.13/20,483.60
  6. Step 6: Final answer
    x = 11,998.83

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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.