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Finding the Fourth Proportional to 3,406, 5,106.28 and 1,762.80

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Solution

The fourth proportional to 3,406, 5,106.28 and 1,762.80 is: 2,642.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406 : 5,106.28 = 1,762.80 : x
  2. Step 2: Convert to fraction form
    3,406/5,106.28 = 1,762.80/x
  3. Step 3: Cross multiply
    3,406x = 5,106.28 × 1,762.80
  4. Step 4: Simplify right side
    3,406x = 9,001,350.38
  5. Step 5: Solve for x
    x = 9,001,350.38/3,406
  6. Step 6: Final answer
    x = 2,642.79

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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.