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Finding the Fourth Proportional to 19,980.22, 29,983.70 and 8,293.43

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Solution

The fourth proportional to 19,980.22, 29,983.70 and 8,293.43 is: 12,445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980.22 : 29,983.70 = 8,293.43 : x
  2. Step 2: Convert to fraction form
    19,980.22/29,983.70 = 8,293.43/x
  3. Step 3: Cross multiply
    19,980.22x = 29,983.70 × 8,293.43
  4. Step 4: Simplify right side
    19,980.22x = 248,667,675.62
  5. Step 5: Solve for x
    x = 248,667,675.62/19,980.22
  6. Step 6: Final answer
    x = 12,445.70

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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.