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Finding the Fourth Proportional to 19,157.68, 28,737 and 5,306.80

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Solution

The fourth proportional to 19,157.68, 28,737 and 5,306.80 is: 7,960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,157.68 : 28,737 = 5,306.80 : x
  2. Step 2: Convert to fraction form
    19,157.68/28,737 = 5,306.80/x
  3. Step 3: Cross multiply
    19,157.68x = 28,737 × 5,306.80
  4. Step 4: Simplify right side
    19,157.68x = 152,501,511.60
  5. Step 5: Solve for x
    x = 152,501,511.60/19,157.68
  6. Step 6: Final answer
    x = 7,960.33

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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.