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Finding the Fourth Proportional to 19,017.76, 28,545 and 9,163.84

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Solution

The fourth proportional to 19,017.76, 28,545 and 9,163.84 is: 13,754.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,017.76 : 28,545 = 9,163.84 : x
  2. Step 2: Convert to fraction form
    19,017.76/28,545 = 9,163.84/x
  3. Step 3: Cross multiply
    19,017.76x = 28,545 × 9,163.84
  4. Step 4: Simplify right side
    19,017.76x = 261,581,812.80
  5. Step 5: Solve for x
    x = 261,581,812.80/19,017.76
  6. Step 6: Final answer
    x = 13,754.61

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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.