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Finding the Fourth Proportional to 20,091.93, 30,138.12 and 9,562.93

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Solution

The fourth proportional to 20,091.93, 30,138.12 and 9,562.93 is: 14,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,091.93 : 30,138.12 = 9,562.93 : x
  2. Step 2: Convert to fraction form
    20,091.93/30,138.12 = 9,562.93/x
  3. Step 3: Cross multiply
    20,091.93x = 30,138.12 × 9,562.93
  4. Step 4: Simplify right side
    20,091.93x = 288,208,731.89
  5. Step 5: Solve for x
    x = 288,208,731.89/20,091.93
  6. Step 6: Final answer
    x = 14,344.50

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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.