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Finding the Fourth Proportional to 5,690, 7,852.20 and 3,206

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Solution

The fourth proportional to 5,690, 7,852.20 and 3,206 is: 4,424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690 : 7,852.20 = 3,206 : x
  2. Step 2: Convert to fraction form
    5,690/7,852.20 = 3,206/x
  3. Step 3: Cross multiply
    5,690x = 7,852.20 × 3,206
  4. Step 4: Simplify right side
    5,690x = 25,174,153.20
  5. Step 5: Solve for x
    x = 25,174,153.20/5,690
  6. Step 6: Final answer
    x = 4,424.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.