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Finding the Fourth Proportional to 19,329, 28,993.50 and 4,737

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Solution

The fourth proportional to 19,329, 28,993.50 and 4,737 is: 7,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,329 : 28,993.50 = 4,737 : x
  2. Step 2: Convert to fraction form
    19,329/28,993.50 = 4,737/x
  3. Step 3: Cross multiply
    19,329x = 28,993.50 × 4,737
  4. Step 4: Simplify right side
    19,329x = 137,342,209.50
  5. Step 5: Solve for x
    x = 137,342,209.50/19,329
  6. Step 6: Final answer
    x = 7,105.50

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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.