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Finding the Fourth Proportional to 20,095, 30,142.50 and 7,783

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Solution

The fourth proportional to 20,095, 30,142.50 and 7,783 is: 11,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,095 : 30,142.50 = 7,783 : x
  2. Step 2: Convert to fraction form
    20,095/30,142.50 = 7,783/x
  3. Step 3: Cross multiply
    20,095x = 30,142.50 × 7,783
  4. Step 4: Simplify right side
    20,095x = 234,599,077.50
  5. Step 5: Solve for x
    x = 234,599,077.50/20,095
  6. Step 6: Final answer
    x = 11,674.50

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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.