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Finding the Fourth Proportional to 19,133.46, 28,703.07 and 6,820.50

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Solution

The fourth proportional to 19,133.46, 28,703.07 and 6,820.50 is: 10,231.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,133.46 : 28,703.07 = 6,820.50 : x
  2. Step 2: Convert to fraction form
    19,133.46/28,703.07 = 6,820.50/x
  3. Step 3: Cross multiply
    19,133.46x = 28,703.07 × 6,820.50
  4. Step 4: Simplify right side
    19,133.46x = 195,769,288.94
  5. Step 5: Solve for x
    x = 195,769,288.94/19,133.46
  6. Step 6: Final answer
    x = 10,231.78

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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.