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Finding the Fourth Proportional to 1,352.97, 1,866.71 and 855.43

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Solution

The fourth proportional to 1,352.97, 1,866.71 and 855.43 is: 1,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.97 : 1,866.71 = 855.43 : x
  2. Step 2: Convert to fraction form
    1,352.97/1,866.71 = 855.43/x
  3. Step 3: Cross multiply
    1,352.97x = 1,866.71 × 855.43
  4. Step 4: Simplify right side
    1,352.97x = 1,596,837.21
  5. Step 5: Solve for x
    x = 1,596,837.21/1,352.97
  6. Step 6: Final answer
    x = 1,180.25

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1.5x scale

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.