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Finding the Fourth Proportional to 4,792, 7,188.42 and 1,329.25

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Solution

The fourth proportional to 4,792, 7,188.42 and 1,329.25 is: 1,993.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792 : 7,188.42 = 1,329.25 : x
  2. Step 2: Convert to fraction form
    4,792/7,188.42 = 1,329.25/x
  3. Step 3: Cross multiply
    4,792x = 7,188.42 × 1,329.25
  4. Step 4: Simplify right side
    4,792x = 9,555,207.29
  5. Step 5: Solve for x
    x = 9,555,207.29/4,792
  6. Step 6: Final answer
    x = 1,993.99

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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.