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Finding the Fourth Proportional to 7,792, 11,693.44 and 3,175.04

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Solution

The fourth proportional to 7,792, 11,693.44 and 3,175.04 is: 4,764.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792 : 11,693.44 = 3,175.04 : x
  2. Step 2: Convert to fraction form
    7,792/11,693.44 = 3,175.04/x
  3. Step 3: Cross multiply
    7,792x = 11,693.44 × 3,175.04
  4. Step 4: Simplify right side
    7,792x = 37,127,139.74
  5. Step 5: Solve for x
    x = 37,127,139.74/7,792
  6. Step 6: Final answer
    x = 4,764.78

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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.