Home / 1,566.14-2,161.26-867.50

Finding the Fourth Proportional to 1,566.14, 2,161.26 and 867.50

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Solution

The fourth proportional to 1,566.14, 2,161.26 and 867.50 is: 1,197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.14 : 2,161.26 = 867.50 : x
  2. Step 2: Convert to fraction form
    1,566.14/2,161.26 = 867.50/x
  3. Step 3: Cross multiply
    1,566.14x = 2,161.26 × 867.50
  4. Step 4: Simplify right side
    1,566.14x = 1,874,893.05
  5. Step 5: Solve for x
    x = 1,874,893.05/1,566.14
  6. Step 6: Final answer
    x = 1,197.14

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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.