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Finding the Fourth Proportional to 19,124.50, 28,687.83 and 6,812.50

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Solution

The fourth proportional to 19,124.50, 28,687.83 and 6,812.50 is: 10,219.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,124.50 : 28,687.83 = 6,812.50 : x
  2. Step 2: Convert to fraction form
    19,124.50/28,687.83 = 6,812.50/x
  3. Step 3: Cross multiply
    19,124.50x = 28,687.83 × 6,812.50
  4. Step 4: Simplify right side
    19,124.50x = 195,435,841.88
  5. Step 5: Solve for x
    x = 195,435,841.88/19,124.50
  6. Step 6: Final answer
    x = 10,219.13

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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.