Home / 1,689.71-2,331.80-1,193.21

Finding the Fourth Proportional to 1,689.71, 2,331.80 and 1,193.21

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Solution

The fourth proportional to 1,689.71, 2,331.80 and 1,193.21 is: 1,646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.71 : 2,331.80 = 1,193.21 : x
  2. Step 2: Convert to fraction form
    1,689.71/2,331.80 = 1,193.21/x
  3. Step 3: Cross multiply
    1,689.71x = 2,331.80 × 1,193.21
  4. Step 4: Simplify right side
    1,689.71x = 2,782,309.45
  5. Step 5: Solve for x
    x = 2,782,309.45/1,689.71
  6. Step 6: Final answer
    x = 1,646.62

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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.