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Finding the Fourth Proportional to 1,866.90, 2,796.30 and 1,661.70

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Solution

The fourth proportional to 1,866.90, 2,796.30 and 1,661.70 is: 2,488.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.90 : 2,796.30 = 1,661.70 : x
  2. Step 2: Convert to fraction form
    1,866.90/2,796.30 = 1,661.70/x
  3. Step 3: Cross multiply
    1,866.90x = 2,796.30 × 1,661.70
  4. Step 4: Simplify right side
    1,866.90x = 4,646,611.71
  5. Step 5: Solve for x
    x = 4,646,611.71/1,866.90
  6. Step 6: Final answer
    x = 2,488.95

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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.