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Finding the Fourth Proportional to 3,100.67, 4,646.28 and 1,866.68

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Solution

The fourth proportional to 3,100.67, 4,646.28 and 1,866.68 is: 2,797.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.67 : 4,646.28 = 1,866.68 : x
  2. Step 2: Convert to fraction form
    3,100.67/4,646.28 = 1,866.68/x
  3. Step 3: Cross multiply
    3,100.67x = 4,646.28 × 1,866.68
  4. Step 4: Simplify right side
    3,100.67x = 8,673,117.95
  5. Step 5: Solve for x
    x = 8,673,117.95/3,100.67
  6. Step 6: Final answer
    x = 2,797.18

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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.