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Finding the Fourth Proportional to 20,402.50, 30,603.99 and 7,923.22

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Solution

The fourth proportional to 20,402.50, 30,603.99 and 7,923.22 is: 11,884.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,402.50 : 30,603.99 = 7,923.22 : x
  2. Step 2: Convert to fraction form
    20,402.50/30,603.99 = 7,923.22/x
  3. Step 3: Cross multiply
    20,402.50x = 30,603.99 × 7,923.22
  4. Step 4: Simplify right side
    20,402.50x = 242,482,145.65
  5. Step 5: Solve for x
    x = 242,482,145.65/20,402.50
  6. Step 6: Final answer
    x = 11,884.92

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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.