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Finding the Fourth Proportional to 6,792, 10,189.80 and 2,175.12

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Solution

The fourth proportional to 6,792, 10,189.80 and 2,175.12 is: 3,263.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,792 : 10,189.80 = 2,175.12 : x
  2. Step 2: Convert to fraction form
    6,792/10,189.80 = 2,175.12/x
  3. Step 3: Cross multiply
    6,792x = 10,189.80 × 2,175.12
  4. Step 4: Simplify right side
    6,792x = 22,164,037.78
  5. Step 5: Solve for x
    x = 22,164,037.78/6,792
  6. Step 6: Final answer
    x = 3,263.26

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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.