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Finding the Fourth Proportional to 19,136.50, 28,706.40 and 5,285.50

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Solution

The fourth proportional to 19,136.50, 28,706.40 and 5,285.50 is: 7,928.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,136.50 : 28,706.40 = 5,285.50 : x
  2. Step 2: Convert to fraction form
    19,136.50/28,706.40 = 5,285.50/x
  3. Step 3: Cross multiply
    19,136.50x = 28,706.40 × 5,285.50
  4. Step 4: Simplify right side
    19,136.50x = 151,727,677.20
  5. Step 5: Solve for x
    x = 151,727,677.20/19,136.50
  6. Step 6: Final answer
    x = 7,928.71

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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.